diff --git a/changelog b/changelog
index fcf4409..d8eef16 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,5 @@
+20100101 tpd src/axiom-website/patches.html 20090101.03.tpd.patch
+20101010 tpd src/input/en.input rewrite using machineFraction
 20100101 tpd src/axiom-website/patches.html 20090101.02.tpd.patch
 20100101 tpd books/bookvol10.4 fix API regression
 20100101 tpd src/axiom-website/patches.html 20090101.01.tpd.patch
diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html
index b9eeeeb..dc59492 100644
--- a/src/axiom-website/patches.html
+++ b/src/axiom-website/patches.html
@@ -2350,5 +2350,7 @@ books/bookvol5 add banner and cleanup globals<br/>
 books/bookvol10.3 add dfloat machineFraction, integerDecode<br/>
 <a href="patches/20090101.02.tpd.patch">20090101.02.tpd.patch</a>
 books/bookvol10.4 fix API regression<br/>
+<a href="patches/20090101.03.tpd.patch">20090101.03.tpd.patch</a>
+src/input/en.input rewrite using machineFraction<br/>
  </body>
 </html>
diff --git a/src/input/en.input.pamphlet b/src/input/en.input.pamphlet
index 3bfe66c..ccf48c4 100644
--- a/src/input/en.input.pamphlet
+++ b/src/input/en.input.pamphlet
@@ -29,11 +29,16 @@ This table expresses the value of
 $E_2$ with an argument range of 0.01 to 0.50.
 The handbook tabulates these values using this function.
 \begin{chunk}{*}
+
 --S 1 of 7
 f(x)==En(2,x)-x*log(x)
+--R 
+--R                                                                   Type: Void
 --E 1
 
 --S 2 of 7
+t2:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_
+ for line in _
 [[0.01,0.9957222,f(0.01),f(0.01)-0.9957222],_
 [0.02,0.9913450,f(0.02),f(0.02)-0.9913450],_
 [0.03,0.9868687,f(0.03),f(0.03)-0.9868687],_
@@ -83,169 +88,326 @@ f(x)==En(2,x)-x*log(x)
 [0.47,0.6988605,f(0.47),f(0.47)-0.6988605],_
 [0.48,0.6903921,f(0.48),f(0.48)-0.6903921],_
 [0.49,0.6818443,f(0.49),f(0.49)-0.6818443],_
-[0.50,0.6732175,f(0.50),f(0.50)-0.6732175]]
+[0.50,0.6732175,f(0.50),f(0.50)-0.6732175]]]
 --R 
 --R   Compiling function f with type Float -> OnePointCompletion 
 --R      DoubleFloat 
 --R
 --R   (2)
---R   [[1.0E-2,0.9957222,0.99572223984366792,3.9843667920536063E-8],
---R    [2.0E-2,0.99134500000000003,0.991344977749124,- 2.2250876030582845E-8],
---R
---R     [2.9999999999999999E-2, 0.98686870000000004, 0.98686870874746913,
---R      8.7474690824151935E-9]
---R     ,
---R
---R     [4.0000000000000001E-2, 0.98229390000000005, 0.98229392458604003,
---R      2.4586039981677743E-8]
---R     ,
---R
---R     [5.0000000000000003E-2, 0.97762110000000002, 0.97762111375291483,
---R      1.3752914806985927E-8]
---R     ,
---R
---R     [5.9999999999999998E-2, 0.97285080000000002, 0.97285076150122396,
---R      - 3.8498776055995165E-8]
---R     ,
---R
---R     [7.0000000000000007E-2, 0.96798340000000005, 0.96798334987326684,
---R      - 5.0126733208699648E-8]
---R     ,
---R
---R     [8.0000000000000002E-2, 0.96301939999999997, 0.96301935772443681,
---R      - 4.2275563161275898E-8]
---R     ,
---R
---R     [8.9999999999999997E-2, 0.95795929999999996, 0.95795926074695703,
---R      - 3.9253042927178683E-8]
---R     ,
---R
---R     [0.10000000000000001, 0.95280350000000003, 0.95280353149342489,
---R      3.149342486796769E-8]
---R     ,
---R    [0.11,0.94755259999999997,0.94755263940017342,3.9400173457160292E-8],
---R    [0.12,0.94220709999999996,0.94220705081044254,- 4.9189557427276043E-8],
---R    [0.13,0.93676720000000002,0.93676722899736986,2.8997369838634768E-8],
---R
---R     [0.14000000000000001, 0.93123359999999999, 0.93123363418679772,
---R      3.4186797726043494E-8]
---R     ,
---R    [0.14999999999999999,0.9256067,0.92560672357989859,2.3579898589254356E-8],
---R    [0.16,0.91988700000000001,0.91988695137562182,- 4.8624378190531559E-8],
---R
---R     [0.17000000000000001, 0.91407479999999997, 0.91407476879296246,
---R      - 3.1207037509695112E-8]
---R     ,
---R
---R     [0.17999999999999999, 0.90817060000000005, 0.90817062409305238,
---R      2.4093052330975695E-8]
---R     ,
---R    [0.19,0.90217499999999995,0.90217496260107799,- 3.7398921959308495E-8],
---R    [0.20000000000000001,0.8960882,0.89608822672802324,2.6728023239108722E-8],
---R
---R     [0.20999999999999999, 0.88991089999999995, 0.88991085599224007,
---R      - 4.400775988067096E-8]
---R     ,
---R    [0.22,0.88364330000000002,0.88364328704084927,- 1.2959150752500648E-8],
---R
---R     [0.23000000000000001, 0.87728600000000001, 0.87728595367097117,
---R      - 4.6329028835501163E-8]
---R     ,
---R
---R     [0.23999999999999999, 0.87083929999999998, 0.8708392868507886,
---R      - 1.3149211386398463E-8]
---R     ,
---R    [0.25,0.86430370000000001,0.86430371474044287,1.4740442866312264E-8],
---R
---R     [0.26000000000000001, 0.85767970000000004, 0.85767966271276586,
---R      - 3.7287234189165019E-8]
---R     ,
---R
---R     [0.27000000000000002, 0.85096760000000005, 0.85096755337384578,
---R      - 4.6626154270867914E-8]
---R     ,
---R
---R     [0.28000000000000003, 0.84416780000000002, 0.84416780658343327,
---R      6.5834332430014797E-9]
---R     ,
---R
---R     [0.28999999999999998, 0.83728080000000005, 0.8372808394751845,
---R      3.9475184454573764E-8]
---R     ,
---R
---R     [0.29999999999999999, 0.83030709999999996, 0.83030706647674468,
---R      - 3.3523255282830178E-8]
---R     ,
---R    [0.31,0.8232469,0.82324689932967399,- 6.7032601691607852E-10],
---R
---R     [0.32000000000000001, 0.81610070000000001, 0.81610074710921554,
---R      4.7109215528529091E-8]
---R     ,
---R
---R     [0.33000000000000002, 0.80886899999999995, 0.80886901624390695,
---R      1.6243906997281954E-8]
---R     ,
---R
---R     [0.34000000000000002, 0.80155209999999999, 0.80155211053503872,
---R      1.0535038730274948E-8]
---R     ,
---R
---R     [0.34999999999999998, 0.79415040000000003, 0.79415043117595796,
---R      3.1175957926343756E-8]
---R     ,
---R
---R     [0.35999999999999999, 0.78666440000000004, 0.78666437677122092,
---R      - 2.3228779122419496E-8]
---R     ,
---R    [0.37,0.77909430000000002,0.77909434335559369,4.3355593670746373E-8],
---R    [0.38,0.77144069999999998,0.77144072441290445,2.4412904475745734E-8],
---R
---R     [0.39000000000000001, 0.76370389999999999, 0.76370391089474698,
---R      1.089474699345061E-8]
---R     ,
---R
---R     [0.40000000000000002, 0.75588429999999995, 0.75588429123903633,
---R      - 8.7609636212349074E-9]
---R     ,
---R
---R     [0.40999999999999998, 0.74798229999999999, 0.74798225138841923,
---R      - 4.8611580760749007E-8]
---R     ,
---R
---R     [0.41999999999999998, 0.73999820000000005, 0.73999817480853991,
---R      - 2.5191460140128186E-8]
---R     ,
---R
---R     [0.42999999999999999, 0.73193240000000004, 0.73193244250616207,
---R      4.2506162034605666E-8]
---R     ,
---R    [0.44,0.72378540000000002,0.7237854330471486,3.3047148573217555E-8],
---R
---R     [0.45000000000000001, 0.71555749999999996, 0.71555752257429939,
---R      2.2574299429756195E-8]
---R     ,
---R
---R     [0.46000000000000002, 0.70724909999999996, 0.70724908482505056,
---R      - 1.517494940816988E-8]
---R     ,
---R    [0.46999999999999997,0.6988605,0.6988604911490337,- 8.8509662932167998E-9],
---R
---R     [0.47999999999999998, 0.69039209999999995, 0.69039211052549776,
---R      1.0525497806668227E-8]
---R     ,
---R
---R     [0.48999999999999999, 0.68184429999999996, 0.68184430958059394,
---R      9.5805939848148114E-9]
---R     ,
---R    [0.5,0.67321750000000002,0.67321745260452559,- 4.739547443399772E-8]]
---R                               Type: List List OnePointCompletion DoubleFloat
+--R      2882303761517117  2242167064442265 8968668616648917     358879857
+--R   [[------------------,----------------,----------------,----------------],
+--R     288230376151711744 2251799813685248 9007199254740992 9007199254740992
+--R      2882303761517117  1116155243148901 8929241744773135       200418073
+--R    [------------------,----------------,----------------,- ----------------],
+--R     144115188075855872 1125899906842624 9007199254740992   9007199254740992
+--R      1080863910568919 8888923019167211 8888923097957409     39395099
+--R    [-----------------,----------------,----------------,----------------],
+--R     36028797018963968 9007199254740992 9007199254740992 4503599627370496
+--R      2882303761517117 4423858442008311 552982319091749     110725681
+--R    [-----------------,----------------,---------------,----------------],
+--R     72057594037927936 4503599627370496 562949953421312 4503599627370496
+--R      7205759403792793  2201407010834767 8805628167214313     123875245
+--R    [------------------,----------------,----------------,----------------],
+--R     144115188075855872 2251799813685248 9007199254740992 9007199254740992
+--R      1080863910568919 8762661000734177 8762660653968031       173383073
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 9007199254740992 9007199254740992   4503599627370496
+--R      5044031582654955 8718819359081651 4359409453790089       451501473
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     72057594037927936 9007199254740992 4503599627370496   9007199254740992
+--R      2882303761517117 8674107621981117 1084263405149587       380784421
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     36028797018963968 9007199254740992 1125899906842624   9007199254740992
+--R      3242591731706757 4314265146516101 4314264969736111       88389995
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     36028797018963968 4503599627370496 4503599627370496   2251799813685248
+--R      7205759403792793 536380685944663 2145522814695541     70916889
+--R    [-----------------,---------------,----------------,----------------],
+--R     72057594037927936 562949953421312 2251799813685248 2251799813685248
+--R      990791918021509 8534795072547889 4267397713716551     354885213
+--R    [----------------,----------------,----------------,----------------],
+--R     9007199254740992 9007199254740992 4503599627370496 9007199254740992
+--R     1080863910568919 8486647088931671 8486646645871525       221530073
+--R    [----------------,----------------,----------------,- ----------------],
+--R     9007199254740992 9007199254740992 9007199254740992   4503599627370496
+--R      4683743612465315 8437648825705805 4218824543445447     261185089
+--R    [-----------------,----------------,----------------,----------------],
+--R     36028797018963968 9007199254740992 4503599627370496 9007199254740992
+--R      5044031582654955 8387806587909771 4193903447918535     307927299
+--R    [-----------------,----------------,----------------,----------------],
+--R     36028797018963968 9007199254740992 4503599627370496 9007199254740992
+--R      5404319552844595 2084280994605817 4168562095406057     106194423
+--R    [-----------------,----------------,----------------,----------------],
+--R     36028797018963968 2251799813685248 4503599627370496 4503599627370496
+--R      2882303761517117 4142802750422963 517850316429779       218984731
+--R    [-----------------,----------------,---------------,- ----------------],
+--R     18014398509481984 4503599627370496 562949953421312   4503599627370496
+--R      3062447746611937 8233253857337521 2058313394062379       281088005
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 9007199254740992 2251799813685248   9007199254740992
+--R      3242591731706757 8180073551497679 4090036884254301     217010923
+--R    [-----------------,----------------,----------------,----------------],
+--R     18014398509481984 9007199254740992 4503599627370496 9007199254740992
+--R      6845471433603153 4063034993822977 2031517412696603       168429771
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     36028797018963968 4503599627370496 2251799813685248   4503599627370496
+--R      7205759403792793 2017811241805549 2017811301991707     30093079
+--R    [-----------------,----------------,----------------,----------------],
+--R     36028797018963968 2251799813685248 2251799813685248 1125899906842624
+--R      7566047373982433 8015604795265885 4007802199439611       396386663
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     36028797018963968 9007199254740992 4503599627370496   9007199254740992
+--R      990791918021509 3979575636608435 3979575578245609       29181413
+--R    [----------------,----------------,----------------,- ----------------],
+--R     4503599627370496 4503599627370496 4503599627370496   2251799813685248
+--R      517913957147607 7901889805394705  987736173512489       417294793
+--R    [----------------,----------------,----------------,- ----------------],
+--R     2251799813685248 9007199254740992 1125899906842624   9007199254740992
+--R     1080863910568919 7843823093959167 122559733992525       118437567
+--R    [----------------,----------------,---------------,- ----------------],
+--R     4503599627370496 9007199254740992 140737488355328   9007199254740992
+--R     1 7784955642509881 1946238943819997     132770107
+--R    [-,----------------,----------------,----------------],
+--R     4 9007199254740992 2251799813685248 9007199254740992
+--R      4683743612465315 7725291954646477 3862645809396465       335853547
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 9007199254740992 4503599627370496   9007199254740992
+--R      4863887597560135 3832417366264365 7664834312557669       419971061
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 4503599627370496 9007199254740992   9007199254740992
+--R      5044031582654955 3801793789518171 3801793819167319      7412287
+--R    [-----------------,----------------,----------------,----------------],
+--R     18014398509481984 4503599627370496 4503599627370496 1125899906842624
+--R      5224175567749775 7541554997768941 7541555353329793     88890213
+--R    [-----------------,----------------,----------------,----------------],
+--R     18014398509481984 9007199254740992 9007199254740992 2251799813685248
+--R      5404319552844595 3739370746163077 7478741190375513       301950641
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 4503599627370496 9007199254740992   9007199254740992
+--R      5584463537939415 7415148864147831  926893607263759        6037759
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 9007199254740992 1125899906842624   9007199254740992
+--R     2882303761517117 7350781616833601 7350782041155693     106080523
+--R    [----------------,----------------,----------------,----------------],
+--R     9007199254740992 9007199254740992 9007199254740992 2251799813685248
+--R     2972375754064527 7285644253983091 3642822200147599     146312107
+--R    [----------------,----------------,----------------,----------------],
+--R     9007199254740992 9007199254740992 4503599627370496 9007199254740992
+--R     3062447746611937 7219739477756077 7219739572647271     47445597
+--R    [----------------,----------------,----------------,----------------],
+--R     9007199254740992 9007199254740992 9007199254740992 4503599627370496
+--R     3152519739159347 1788267722758065 3576535585920163     140404033
+--R    [----------------,----------------,----------------,----------------],
+--R     9007199254740992 2251799813685248 4503599627370496 4503599627370496
+--R     3242591731706757 7085642997411269 1771410697046257       209226241
+--R    [----------------,----------------,----------------,- ----------------],
+--R     9007199254740992 9007199254740992 2251799813685248   9007199254740992
+--R     3332663724254167 3508728799166477 3508728994422713     48814059
+--R    [----------------,----------------,----------------,----------------],
+--R     9007199254740992 4503599627370496 4503599627370496 1125899906842624
+--R      6845471433603153 6948520098116869 6948520318008765     27486487
+--R    [-----------------,----------------,----------------,----------------],
+--R     18014398509481984 9007199254740992 9007199254740992 1125899906842624
+--R      7025615418697973 6878833198922789 6878833297053947     49065579
+--R    [-----------------,----------------,----------------,----------------],
+--R     18014398509481984 9007199254740992 9007199254740992 4503599627370496
+--R      7205759403792793 425525031476901 6808400424718671       78911745
+--R    [-----------------,---------------,----------------,- ----------------],
+--R     18014398509481984 562949953421312 9007199254740992   9007199254740992
+--R      7385903388887613 6737225615119453 3368612588632629       437854195
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 9007199254740992 4503599627370496   9007199254740992
+--R      7566047373982433 6665311235549675 3332655504322587       226904501
+--R    [-----------------,----------------,----------------,- ----------------],
+--R     18014398509481984 9007199254740992 4503599627370496   9007199254740992
+--R      7746191359077253 6592660967800785 6592661350662257     11964421
+--R    [-----------------,----------------,----------------,---------------],
+--R     18014398509481984 9007199254740992 9007199254740992 281474976710656
+--R      990791918021509 3259639657736205 6519279613134663     297662253
+--R    [----------------,----------------,----------------,----------------],
+--R     2251799813685248 4503599627370496 9007199254740992 9007199254740992
+--R     2026619832316723 6445168980724327 6445169184055539     50832803
+--R    [----------------,----------------,----------------,----------------],
+--R     4503599627370496 9007199254740992 9007199254740992 2251799813685248
+--R      517913957147607 6370333566436237 1592583357438111       136683793
+--R    [----------------,----------------,----------------,- ----------------],
+--R     1125899906842624 9007199254740992 2251799813685248   9007199254740992
+--R     2116691824864133 6294775774767917 1573693923761375       79722417
+--R    [----------------,----------------,----------------,- ----------------],
+--R     4503599627370496 9007199254740992 2251799813685248   9007199254740992
+--R     1080863910568919 1554624802149767 1554624825851081     11850657
+--R    [----------------,----------------,----------------,----------------],
+--R     2251799813685248 2251799813685248 2251799813685248 1125899906842624
+--R     2206763817411543 6141507470809393 191922111159491     86294319
+--R    [----------------,----------------,---------------,----------------],
+--R     4503599627370496 9007199254740992 281474976710656 9007199254740992
+--R     1 6063804164278593  94746933396533       426900481
+--R    [-,----------------,---------------,- ----------------]]
+--R     2 9007199254740992 140737488355328   9007199254740992
+--R                                             Type: List List Fraction Integer
 --E 2
 
 \end{chunk}
-This table expresses the value of 
-$E_2$ with an argument range of 0.50 to 2.00.
+
+The actual table values from above are:
+\begin{verbatim}
+ [1.0E-2,                 0.9957222,
+                          0.99572223984366792,
+                          3.9843667920536063E-8],
+ [2.0E-2,                 0.99134500000000003,
+                          0.991344977749124,
+                         -2.2250876030582845E-8],
+ [2.9999999999999999E-2,  0.98686870000000004, 
+                          0.98686870874746913,
+                          8.7474690824151935E-9]
+ [4.0000000000000001E-2,  0.98229390000000005, 
+                          0.98229392458604003,
+                          2.4586039981677743E-8]
+ [5.0000000000000003E-2,  0.97762110000000002, 
+                          0.97762111375291483,
+                          1.3752914806985927E-8]
+ [5.9999999999999998E-2,  0.97285080000000002, 
+                          0.97285076150122396,
+                         -3.8498776055995165E-8]
+ [7.0000000000000007E-2,  0.96798340000000005, 
+                          0.96798334987326684,
+                         -5.0126733208699648E-8]
+ [8.0000000000000002E-2,  0.96301939999999997, 
+                          0.96301935772443681,
+                         -4.2275563161275898E-8]
+ [8.9999999999999997E-2,  0.95795929999999996, 
+                          0.95795926074695703,
+                         -3.9253042927178683E-8]
+ [0.10000000000000001,    0.95280350000000003, 
+                          0.95280353149342489,
+                          3.149342486796769E-8]
+ [0.11,                   0.94755259999999997,
+                          0.94755263940017342,
+                          3.9400173457160292E-8],
+ [0.12,                   0.94220709999999996,
+                          0.94220705081044254,
+                         -4.9189557427276043E-8],
+ [0.13,                   0.93676720000000002,
+                          0.93676722899736986,
+                          2.8997369838634768E-8],
+ [0.14000000000000001,    0.93123359999999999, 
+                          0.93123363418679772,
+                          3.4186797726043494E-8]
+ [0.14999999999999999,    0.9256067,
+                          0.92560672357989859,
+                          2.3579898589254356E-8],
+ [0.16,                   0.91988700000000001,
+                          0.91988695137562182,
+                         -4.8624378190531559E-8],
+ [0.17000000000000001,    0.91407479999999997, 
+                          0.91407476879296246,
+                         -3.1207037509695112E-8]
+ [0.17999999999999999,    0.90817060000000005, 
+                          0.90817062409305238,
+                          2.4093052330975695E-8]
+ [0.19,                   0.90217499999999995,
+                          0.90217496260107799,
+                         -3.7398921959308495E-8],
+ [0.20000000000000001,    0.8960882,
+                          0.89608822672802324,
+                          2.6728023239108722E-8],
+ [0.20999999999999999,    0.88991089999999995, 
+                          0.88991085599224007,
+                         -4.400775988067096E-8]
+ [0.22,                   0.88364330000000002,
+                          0.88364328704084927,
+                         -1.2959150752500648E-8],
+ [0.23000000000000001,    0.87728600000000001, 
+                          0.87728595367097117,
+                         -4.6329028835501163E-8]
+ [0.23999999999999999,    0.87083929999999998, 
+                          0.8708392868507886,
+                         -1.3149211386398463E-8]
+ [0.25,                   0.86430370000000001,
+                          0.86430371474044287,
+                          1.4740442866312264E-8],
+ [0.26000000000000001,    0.85767970000000004, 
+                          0.85767966271276586,
+                         -3.7287234189165019E-8]
+ [0.27000000000000002,    0.85096760000000005, 
+                          0.85096755337384578,
+                         -4.6626154270867914E-8]
+ [0.28000000000000003,    0.84416780000000002, 
+                          0.84416780658343327,
+                          6.5834332430014797E-9]
+ [0.28999999999999998,    0.83728080000000005, 
+                          0.8372808394751845,
+                          3.9475184454573764E-8]
+ [0.29999999999999999,    0.83030709999999996, 
+                          0.83030706647674468,
+                         -3.3523255282830178E-8]
+ [0.31,                   0.8232469,
+                          0.82324689932967399,
+                         -6.7032601691607852E-10],
+ [0.32000000000000001,    0.81610070000000001, 
+                          0.81610074710921554,
+                          4.7109215528529091E-8]
+ [0.33000000000000002,    0.80886899999999995, 
+                          0.80886901624390695,
+                          1.6243906997281954E-8]
+ [0.34000000000000002,    0.80155209999999999, 
+                          0.80155211053503872,
+                          1.0535038730274948E-8]
+ [0.34999999999999998,    0.79415040000000003, 
+                          0.79415043117595796,
+                          3.1175957926343756E-8]
+ [0.35999999999999999,    0.78666440000000004, 
+                          0.78666437677122092,
+                         -2.3228779122419496E-8]
+ [0.37,                   0.77909430000000002,
+                          0.77909434335559369,
+                          4.3355593670746373E-8],
+ [0.38,                   0.77144069999999998,
+                          0.77144072441290445,
+                          2.4412904475745734E-8],
+ [0.39000000000000001,    0.76370389999999999, 
+                          0.76370391089474698,
+                          1.089474699345061E-8]
+ [0.40000000000000002,    0.75588429999999995, 
+                          0.75588429123903633,
+                         -8.7609636212349074E-9]
+ [0.40999999999999998,    0.74798229999999999, 
+                          0.74798225138841923,
+                         -4.8611580760749007E-8]
+ [0.41999999999999998,    0.73999820000000005, 
+                          0.73999817480853991,
+                         -2.5191460140128186E-8]
+ [0.42999999999999999,    0.73193240000000004, 
+                          0.73193244250616207,
+                          4.2506162034605666E-8]
+ [0.44,                   0.72378540000000002,
+                          0.7237854330471486,
+                          3.3047148573217555E-8],
+ [0.45000000000000001,    0.71555749999999996, 
+                          0.71555752257429939,
+                          2.2574299429756195E-8]
+ [0.46000000000000002,    0.70724909999999996, 
+                          0.70724908482505056,
+                         -1.517494940816988E-8]
+ [0.46999999999999997,    0.6988605,
+                          0.6988604911490337,
+                         -8.8509662932167998E-9],
+ [0.47999999999999998,    0.69039209999999995, 
+                          0.69039211052549776,
+                          1.0525497806668227E-8]
+ [0.48999999999999999,    0.68184429999999996, 
+                          0.68184430958059394,
+                          9.5805939848148114E-9]
+ [0.5,                    0.67321750000000002,
+                          0.67321745260452559,
+                         -4.739547443399772E-8]]
+
+\end{verbatim}
 \begin{chunk}{*}
+
 --S 3 of 7
+t3:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_
+ for line in _
 [[0.50,0.3266439,En(2,0.50),En(2,0.50)-0.3266439],_
 [0.51,0.3211062,En(2,0.51),En(2,0.51)-0.3211062],_
 [0.52,0.3156863,En(2,0.52),En(2,0.52)-0.3156863],_
@@ -396,397 +558,941 @@ $E_2$ with an argument range of 0.50 to 2.00.
 [1.97,0.0390322,En(2,1.97),En(2,1.97)-0.0390322],_
 [1.98,0.0385259,En(2,1.98),En(2,1.98)-0.0385259],_
 [1.99,0.0380267,En(2,1.99),En(2,1.99)-0.0380267],_
-[2.00,0.0375343,En(2,2.00),En(2,2.00)-0.0375343]]
+[2.00,0.0375343,En(2,2.00),En(2,2.00)-0.0375343]]]
 --R 
 --R
 --R   (3)
---R   [[0.5,0.32664389999999999,0.326643862324553,- 3.7675446984408723E-8],
---R
---R     [0.51000000000000001, 0.32110620000000001, 0.32110617940404323,
---R      - 2.0595956773394875E-8]
---R     ,
---R
---R     [0.52000000000000002, 0.31568629999999998, 0.31568625309046355,
---R      - 4.6909536421946285E-8]
---R     ,
---R
---R     [0.53000000000000003, 0.31038070000000001, 0.31038066931747649,
---R      - 3.0682523521896599E-8]
---R     ,
---R
---R     [0.54000000000000004, 0.30518620000000002, 0.30518615409477512,
---R      - 4.5905224899112085E-8]
---R     ,
---R
---R     [0.55000000000000004, 0.30009960000000002, 0.30009956561466999,
---R      - 3.4385330027753014E-8]
---R     ,
---R
---R     [0.56000000000000005, 0.29511789999999999, 0.29511788693397883,
---R      - 1.3066021153917973E-8]
---R     ,
---R    [0.56999999999999995,0.2902382,0.29023821917982273,1.9179822730031049E-8],
---R
---R     [0.57999999999999996, 0.28545779999999998, 0.28545777523334881,
---R      - 2.4766651174346066E-8]
---R     ,
---R
---R     [0.58999999999999997, 0.28077390000000002, 0.28077387385015457,
---R      - 2.6149845455680776E-8]
---R     ,
---R
---R     [0.59999999999999998, 0.27618389999999998, 0.27618393418038506,
---R      3.4180385077853259E-8]
---R     ,
---R
---R     [0.60999999999999999, 0.27168550000000002, 0.27168547065517928,
---R      - 2.9344820740018207E-8]
---R     ,
---R    [0.62,0.26727610000000002,0.26727608820941573,- 1.1790584286686112E-8],
---R    [0.63,0.26295350000000001,0.26295347781362555,- 2.2186374459831626E-8],
---R
---R     [0.64000000000000001, 0.25871539999999998, 0.25871541229051526,
---R      1.2290515272184166E-8]
---R     ,
---R    [0.65000000000000002,0.2545597,0.25455974239385432,4.2393854315925239E-8],
---R    [0.66000000000000003,0.2504844,0.25048439312952969,- 6.8704703037880677E-9],
---R    [0.67000000000000004,0.2464874,0.24648736030041074,- 3.969958925487127E-8],
---R    [0.68000000000000005,0.2425667,0.24256670725830815,7.2583081489607792E-9],
---R
---R     [0.68999999999999995, 0.23872060000000001, 0.23872056184779239,
---R      - 3.8152207615382849E-8]
---R     ,
---R
---R     [0.69999999999999996, 0.23494709999999999, 0.23494711352795306,
---R      1.3527953063308118E-8]
---R     ,
---R
---R     [0.70999999999999996, 0.23124459999999999, 0.23124461065938429,
---R      1.0659384291900054E-8]
---R     ,
---R
---R     [0.71999999999999997, 0.22761139999999999, 0.22761135794474674,
---R      - 4.2055253252071267E-8]
---R     ,
---R
---R     [0.72999999999999998, 0.22404569999999999, 0.22404571401223494,
---R      1.4012234955673719E-8]
---R     ,
---R
---R     [0.73999999999999999, 0.22054609999999999, 0.22054608913215246,
---R      - 1.0867847538564845E-8]
---R     ,
---R    [0.75,0.2171109,0.21711094305759215,4.3057592158390889E-8],
---R
---R     [0.76000000000000001, 0.21373880000000001, 0.21373878298094046,
---R      - 1.7019059550538174E-8]
---R     ,
---R
---R     [0.77000000000000002, 0.21042820000000001, 0.21042816159857808,
---R      - 3.8401421931233415E-8]
---R     ,
---R
---R     [0.78000000000000003, 0.20717769999999999, 0.2071776752767438,
---R      - 2.4723256192293874E-8]
---R     ,
---R    [0.79000000000000004,0.203986,0.20398596231206947,- 3.7687930526386637E-8],
---R
---R     [0.80000000000000004, 0.20085169999999999, 0.20085170128078714,
---R      1.2807871430098317E-9]
---R     ,
---R
---R     [0.81000000000000005, 0.19777359999999999, 0.19777360947106051,
---R      9.4710605191838937E-9]
---R     ,
---R
---R     [0.81999999999999995, 0.19475039999999999, 0.19475044139330239,
---R      4.1393302396830478E-8]
---R     ,
---R
---R     [0.82999999999999996, 0.19178100000000001, 0.19178098736371621,
---R      - 1.2636283797107239E-8]
---R     ,
---R
---R     [0.83999999999999997, 0.18886410000000001, 0.18886407215664666,
---R      - 2.7843353345158306E-8]
---R     ,
---R
---R     [0.84999999999999998, 0.18599859999999999, 0.18599855372163451,
---R      - 4.627836547310693E-8]
---R     ,
---R
---R     [0.85999999999999999, 0.18318329999999999, 0.1831833219613668,
---R      2.1961366808431748E-8]
---R     ,
---R    [0.87,0.1804173,0.18041729756697517,- 2.4330248371562391E-9],
---R    [0.88,0.17769940000000001,0.17769943090737958,3.0907379572342464E-8],
---R
---R     [0.89000000000000001, 0.17502870000000001, 0.17502870096960518,
---R      9.696051739283007E-10]
---R     ,
---R    [0.90000000000000002,0.1724041,0.17240411434719952,1.4347199511766107E-8],
---R    [0.91000000000000003,0.1698247,0.16982470427407523,4.2740752326242415E-9],
---R
---R     [0.92000000000000004, 0.16728950000000001, 0.1672895297012775,
---R      2.9701277493021649E-8]
---R     ,
---R
---R     [0.93000000000000005, 0.16479769999999999, 0.16479767441433715,
---R      - 2.5585662838389922E-8]
---R     ,
---R    [0.93999999999999995,0.1623482,0.16234824618902396,4.6189023966691778E-8],
---R
---R     [0.94999999999999996, 0.15994040000000001, 0.15994037598345329,
---R      - 2.4016546723570897E-8]
---R     ,
---R    [0.95999999999999996,0.1575732,0.15757321716462735,1.7164627358345896E-8],
---R
---R     [0.96999999999999997, 0.15524589999999999, 0.15524594476761389,
---R      4.4767613893714753E-8]
---R     ,
---R    [0.97999999999999998,0.1529578,0.15295775478567628,- 4.5214323729503292E-8],
---R
---R     [0.98999999999999999, 0.15070790000000001, 0.15070786348977031,
---R      - 3.6510229700636998E-8]
---R     ,
---R    [1.,0.1484955,0.14849550677592205,6.7759220456764524E-9],
---R    [1.01,0.1463199,0.14631993953908851,3.9539088503293129E-8],
---R    [1.02,0.14418039999999999,0.14418043507218453,3.5072184545459351E-8],
---R    [1.03,0.14207629999999999,0.1420762844890415,- 1.551095848983941E-8],
---R    [1.04,0.14000679999999999,0.14000679617012995,- 3.8298700322236812E-9],
---R    [1.05,0.13797129999999999,0.13797129522994891,- 4.7700510763526438E-9],
---R
---R     [1.0600000000000001, 0.13596910000000001, 0.13596912300504763,
---R      2.3005047616875274E-8]
---R     ,
---R    [1.0700000000000001,0.1339996,0.13399963656170108,3.6561701083348552E-8],
---R
---R     [1.0800000000000001, 0.13206219999999999, 0.13206220822231926,
---R      8.2223192698904768E-9]
---R     ,
---R    [1.0900000000000001,0.1301562,0.13015622510971911,2.5109719109517314E-8],
---R
---R     [1.1000000000000001, 0.12828110000000001, 0.12828108870843541,
---R      - 1.1291564600002246E-8]
---R     ,
---R    [1.1100000000000001,0.1264362,0.12643621444229519,1.4442295193095589E-8],
---R    [1.1200000000000001,0.124621,0.12462103126751783,3.1267517838773351E-8],
---R    [1.1299999999999999,0.122835,0.12283498128064541,- 1.871935459418772E-8],
---R    [1.1399999999999999,0.1210775,0.12107751934064451,1.934064450259676E-8],
---R    [1.1499999999999999,0.1193481,0.11934811270455489,1.270455489421618E-8],
---R
---R     [1.1599999999999999, 0.11764620000000001, 0.11764624067609286,
---R      4.0676092855074231E-8]
---R     ,
---R    [1.1699999999999999,0.1159714,0.11597139426664799,- 5.7333520153690642E-9],
---R    [1.1799999999999999,0.1143231,0.11432307586814175,- 2.4131858247788962E-8],
---R    [1.1899999999999999,0.1127008,0.11270079893724061,- 1.0627593943768332E-9],
---R    [1.2,0.1111041,0.11110408769044711,- 1.2309552890887865E-8],
---R    [1.21,0.1095325,0.10953247680961009,- 2.3190389913940734E-8],
---R    [1.22,0.1079855,0.10798551115742314,1.1157423138175027E-8],
---R    [1.23,0.10646269999999999,0.10646274550249626,4.5502496270888315E-8],
---R    [1.24,0.10496369999999999,0.10496374425361385,4.4253613856737317E-8],
---R    [1.25,0.1034881,0.10348808120280234,- 1.8797197659514708E-8],
---R    [1.26,0.1020353,0.10203533927685385,3.9276853852632243E-8],
---R    [1.27,0.1006051,0.10060511029696789,1.0296967889455999E-8],
---R    [1.28,9.9196999999999994E-2,9.9196994746190731E-2,- 5.2538092626397415E-9],
---R    [1.29,9.7810599999999998E-2,9.7810601544343179E-2,1.5443431811146269E-9],
---R    [1.3,9.6445500000000003E-2,9.6445547830144779E-2,4.7830144775384831E-8],
---R
---R     [1.3100000000000001, 9.5101500000000005E-2, 9.5101458750257717E-2,
---R      - 4.1249742288584912E-8]
---R     ,
---R    [1.3200000000000001,9.3778E-2,9.3777967254982664E-2,- 3.2745017336521798E-8]
---R     ,
---R
---R     [1.3300000000000001, 9.2474700000000007E-2, 9.2474713900349198E-2,
---R      1.3900349191131589E-8]
---R     ,
---R
---R     [1.3400000000000001, 9.1191300000000003E-2, 9.1191346656366773E-2,
---R      4.6656366770037039E-8]
---R     ,
---R
---R     [1.3500000000000001, 8.9927499999999994E-2, 8.9927520721194559E-2,
---R      2.072119456575372E-8]
---R     ,
---R
---R     [1.3600000000000001, 8.8682899999999995E-2, 8.8682898341016198E-2,
---R      - 1.6589837975589106E-9]
---R     ,
---R
---R     [1.3700000000000001, 8.7457099999999996E-2, 8.7457148635403298E-2,
---R      4.8635403301910962E-8]
---R     ,
---R
---R     [1.3799999999999999, 8.6249900000000004E-2, 8.6249947427970763E-2,
---R      4.7427970759073013E-8]
---R     ,
---R
---R     [1.3899999999999999, 8.5060999999999998E-2, 8.5060977082121597E-2,
---R      - 2.2917878400585678E-8]
---R     ,
---R
---R     [1.3999999999999999, 8.3889900000000003E-2, 8.3889926341705251E-2,
---R      2.6341705247623359E-8]
---R     ,
---R
---R     [1.4099999999999999, 8.2736500000000004E-2, 8.2736490176409327E-2,
---R      - 9.8235906770272052E-9]
---R     ,
---R
---R     [1.4199999999999999, 8.1600400000000003E-2, 8.1600369631709052E-2,
---R      - 3.0368290951376942E-8]
---R     ,
---R
---R     [1.4299999999999999, 8.0481300000000006E-2, 8.0481271683224637E-2,
---R      - 2.8316775368963931E-8]
---R     ,
---R
---R     [1.4399999999999999, 7.9378900000000002E-2, 7.9378909095316863E-2,
---R      9.0953168607743606E-9]
---R     ,
---R    [1.45,7.8293000000000001E-2,7.8293000283781833E-2,2.8378183136723578E-10],
---R    [1.46,7.7223299999999995E-2,7.7223269182499166E-2,- 3.0817500829005695E-8],
---R    [1.47,7.6169399999999998E-2,7.6169445113894313E-2,4.5113894314718905E-8],
---R    [1.48,7.5131299999999998E-2,7.5131262663086618E-2,- 3.7336913380481285E-8],
---R    [1.49,7.4108499999999994E-2,7.4108461555594529E-2,- 3.844440546463268E-8],
---R    [1.5,7.3100799999999994E-2,7.3100786538480983E-2,- 1.3461519010604661E-8],
---R    [1.51,7.2108000000000005E-2,7.2107987264816237E-2,- 1.2735183768652902E-8],
---R    [1.52,7.1129800000000007E-2,7.1129818181354831E-2,1.8181354824453599E-8],
---R    [1.53,7.0166000000000006E-2,7.0166038419312571E-2,3.8419312564652586E-8],
---R    [1.54,6.9216399999999997E-2,6.9216411688142798E-2,1.168814280083641E-8],
---R    [1.55,6.82807E-2,6.8280706172218819E-2,6.172218819378017E-9],
---R
---R     [1.5600000000000001, 6.7358699999999994E-2, 6.735869443031553E-2,
---R      - 5.5696844636354825E-9]
---R     ,
---R
---R     [1.5700000000000001, 6.6450200000000001E-2, 6.6450153297810788E-2,
---R      - 4.670218921309921E-8]
---R     ,
---R
---R     [1.5800000000000001, 6.5554899999999999E-2, 6.5554863791512402E-2,
---R      - 3.6208487597111372E-8]
---R     ,
---R
---R     [1.5900000000000001, 6.4672599999999997E-2, 6.4672611017026815E-2,
---R      1.1017026818604947E-8]
---R     ,
---R
---R     [1.6000000000000001, 6.3803200000000004E-2, 6.380318407859184E-2,
---R      - 1.5921408164087936E-8]
---R     ,
---R    [1.6100000000000001,6.29464E-2,6.2946375991286996E-2,- 2.400871300378693E-8]
---R     ,
---R
---R     [1.6200000000000001, 6.2101999999999997E-2, 6.210198359555763E-2,
---R      - 1.6404442367001781E-8]
---R     ,
---R
---R     [1.6299999999999999, 6.1269799999999999E-2, 6.1269807473971261E-2,
---R      7.4739712613292042E-9]
---R     ,
---R
---R     [1.6399999999999999, 6.0449700000000002E-2, 6.0449651870139426E-2,
---R      - 4.8129860576173744E-8]
---R     ,
---R
---R     [1.6499999999999999, 5.9641300000000001E-2, 5.9641324609737895E-2,
---R      2.460973789336629E-8]
---R     ,
---R
---R     [1.6599999999999999, 5.8844599999999997E-2, 5.884463702356188E-2,
---R      3.702356188295397E-8]
---R     ,
---R
---R     [1.6699999999999999, 5.8059399999999997E-2, 5.8059403872549598E-2,
---R      3.8725496004365922E-9]
---R     ,
---R    [1.6799999999999999,5.72854E-2,5.7285443274719294E-2,4.3274719294106312E-8],
---R
---R     [1.6899999999999999, 5.6522599999999999E-2, 5.6522576633957849E-2,
---R      - 2.3366042149752797E-8]
---R     ,
---R    [1.7,5.5770599999999997E-2,5.5770628570604719E-2,2.8570604722333304E-8],
---R    [1.71,5.5029399999999999E-2,5.5029426853783953E-2,2.685378395345106E-8],
---R    [1.72,5.4298800000000001E-2,5.4298802335420795E-2,2.3354207942527516E-9],
---R    [1.73,5.3578599999999997E-2,5.3578588885902612E-2,- 1.1114097385467314E-8],
---R    [1.74,5.2868600000000002E-2,5.2868623331333131E-2,2.3331333129372744E-8],
---R    [1.75,5.2168699999999998E-2,5.2168745392327326E-2,4.539232732747589E-8],
---R    [1.76,5.1478799999999998E-2,5.1478797624312636E-2,- 2.375687362110579E-9],
---R    [1.77,5.0798599999999999E-2,5.0798625359279745E-2,2.5359279745562624E-8],
---R    [1.78,5.0128100000000002E-2,5.0128076648957798E-2,- 2.3351042204022843E-8],
---R    [1.79,4.9466999999999997E-2,4.9467002209351796E-2,2.209351798732051E-9],
---R    [1.8,4.8815299999999999E-2,4.8815255366622776E-2,- 4.4633377223324278E-8],
---R
---R     [1.8100000000000001, 4.8172699999999999E-2, 4.8172692004261553E-2,
---R      - 7.995738446342493E-9]
---R     ,
---R
---R     [1.8200000000000001, 4.7539199999999997E-2, 4.7539170511522538E-2,
---R      - 2.9488477458483597E-8]
---R     ,
---R
---R     [1.8300000000000001, 4.6914600000000001E-2, 4.691455173308047E-2,
---R      - 4.8266919530637331E-8]
---R     ,
---R
---R     [1.8400000000000001, 4.6298699999999998E-2, 4.6298698919879575E-2,
---R      - 1.0801204236576822E-9]
---R     ,
---R
---R     [1.8500000000000001, 4.5691500000000003E-2, 4.5691477681136752E-2,
---R      - 2.2318863250603282E-8]
---R     ,
---R
---R     [1.8600000000000001, 4.5092800000000002E-2, 4.5092755937471779E-2,
---R      - 4.4062528223309805E-8]
---R     ,
---R
---R     [1.8700000000000001, 4.4502399999999998E-2, 4.4502403875127772E-2,
---R      3.8751277742221646E-9]
---R     ,
---R
---R     [1.8799999999999999, 4.3920300000000002E-2, 4.3920293901256249E-2,
---R      - 6.0987437530690691E-9]
---R     ,
---R
---R     [1.8899999999999999, 4.3346299999999997E-2, 4.3346300600241791E-2,
---R      6.0024179376894082E-10]
---R     ,
---R    [1.8999999999999999,4.27803E-2,4.2780300691019318E-2,6.9101931815529483E-10]
---R     ,
---R
---R     [1.9099999999999999, 4.2222200000000001E-2, 4.2222172985387205E-2,
---R      - 2.701461279674966E-8]
---R     ,
---R
---R     [1.9199999999999999, 4.1671800000000002E-2, 4.1671798347258343E-2,
---R      - 1.6527416588085764E-9]
---R     ,
---R
---R     [1.9299999999999999, 4.1129100000000002E-2, 4.1129059652846772E-2,
---R      - 4.0347153229536303E-8]
---R     ,
---R
---R     [1.9399999999999999, 4.0593799999999999E-2, 4.0593841751750112E-2,
---R      4.1751750112783981E-8]
---R     ,
---R    [1.95,4.0065999999999997E-2,4.0066031428916418E-2,3.1428916420772612E-8],
---R    [1.96,3.9545499999999997E-2,3.9545517367460342E-2,1.7367460344863694E-8],
---R    [1.97,3.9032200000000003E-2,3.9032190112315068E-2,- 9.8876849347062645E-9],
---R    [1.98,3.8525900000000002E-2,3.8525942034688052E-2,4.2034688049752411E-8],
---R    [1.99,3.8026699999999997E-2,3.8026667297318961E-2,- 3.2702681035390313E-8],
---R    [2.,3.75343E-2,3.7534261820490689E-2,- 3.817950931100933E-8]]
---R                               Type: List List OnePointCompletion DoubleFloat
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+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 72057594037927936 18014398509481984 72057594037927936
+--R     2769713770832855  3835723008390855  3835724647791057     819700101
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     2251799813685248 36028797018963968 36028797018963968 18014398509481984
+--R     5584463537939415  945428960414857  1890858718031947     797202233
+--R    [----------------,----------------,-----------------,-----------------],
+--R     4503599627370496 9007199254740992 18014398509481984 18014398509481984
+--R     5  3728551748778245  1864275535768911       677240423
+--R    [-,-----------------,-----------------,- -----------------],
+--R     4 36028797018963968 18014398509481984   36028797018963968
+--R     709316941310853  1838104556234547  3676210527566883     1415097789
+--R    [---------------,-----------------,-----------------,-----------------],
+--R     562949953421312 18014398509481984 36028797018963968 36028797018963968
+--R     5719571526760529  7249361453945143  3624681097959939     741974735
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 72057594037927936 36028797018963968 72057594037927936
+--R     2882303761517117  7147897155780337  3573948388601747       378576843
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     2251799813685248 72057594037927936 36028797018963968   72057594037927936
+--R     5809643519307939  3523998253703077  110124947166997      55640827
+--R    [----------------,-----------------,----------------,-----------------],
+--R     4503599627370496 36028797018963968 1125899906842624 36028797018963968
+--R     1463669878895411  3474815342892489  1737408533077531     1723262573
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     1125899906842624 36028797018963968 18014398509481984 36028797018963968
+--R     5899715511855349  6852785279398003  1713195576760209       2972357167
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 72057594037927936 18014398509481984   72057594037927936
+--R     2972375754064527  6757417053688805  3378707347080815       2359527175
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     2251799813685248 72057594037927936 36028797018963968   72057594037927936
+--R     5989787504402759  3331752195689587  3331752696502453     250406433
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 36028797018963968 36028797018963968 18014398509481984
+--R     377176468792279  6571025675190897  821378629642053     3361945527
+--R    [---------------,-----------------,----------------,-----------------],
+--R     281474976710656 72057594037927936 9007199254740992 72057594037927936
+--R     6079859496950169  1619989821961441  404997548810325     373279859
+--R    [----------------,-----------------,----------------,-----------------],
+--R     4503599627370496 18014398509481984 4503599627370496 18014398509481984
+--R     3062447746611937  6390276406306159  798784535845471       119542391
+--R    [----------------,-----------------,----------------,- -----------------],
+--R     2251799813685248 72057594037927936 9007199254740992   72057594037927936
+--R     6169931489497579  6301948207534467  393871982005289     3504550157
+--R    [----------------,-----------------,----------------,-----------------],
+--R     4503599627370496 72057594037927936 4503599627370496 72057594037927936
+--R     1553741871442821  776870035001485  194217615548667     427193183
+--R    [----------------,----------------,----------------,----------------],
+--R     1125899906842624 9007199254740992 2251799813685248 9007199254740992
+--R     6260003482044989  1532322751615047  1532322338763247       51606475
+--R    [----------------,-----------------,-----------------,- ----------------],
+--R     4503599627370496 18014398509481984 18014398509481984   2251799813685248
+--R     3152519739159347  3022452179041185  3022453128101137     59316247
+--R    [----------------,-----------------,-----------------,----------------],
+--R     2251799813685248 36028797018963968 36028797018963968 2251799813685248
+--R     6350075474592399  372612070569939  2980896210627347       353932165
+--R    [----------------,----------------,-----------------,- -----------------],
+--R     4503599627370496 4503599627370496 36028797018963968   36028797018963968
+--R     799388933858263  2939964248266267  2939963154133277       547066495
+--R    [---------------,-----------------,-----------------,- -----------------],
+--R     562949953421312 36028797018963968 36028797018963968   18014398509481984
+--R     6440147467139809  5799288843044689  2899643401302993       2040438703
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 72057594037927936 36028797018963968   72057594037927936
+--R     3242591731706757  5719852551377277  2859926603381953     655386629
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     2251799813685248 72057594037927936 36028797018963968 72057594037927936
+--R     6530219459687219  5641605210011491  2820802615230053      20448615
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 72057594037927936 36028797018963968 72057594037927936
+--R     1643813863990231  5434106642255  2782261490517067       1110317493
+--R    [----------------,--------------,-----------------,- -----------------],
+--R     1125899906842624 70368744177664 36028797018963968   36028797018963968
+--R     6620291452234629  1372145925828137  2744293477055603     1625399329
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 18014398509481984 36028797018963968 36028797018963968
+--R     3332663724254167  5413780714941775  1353444506133401       2690408171
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     2251799813685248 72057594037927936 18014398509481984   72057594037927936
+--R     6710363444782039  2670040103879891  1335019359387105       1385105681
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 36028797018963968 18014398509481984   36028797018963968
+--R     3  2633733885123881  2633733400121533       121250587
+--R    [-,-----------------,-----------------,- ----------------],
+--R     2 36028797018963968 36028797018963968   9007199254740992
+--R     850054429666181  5195928990886907  2597964036610097       917666713
+--R    [---------------,-----------------,-----------------,- -----------------],
+--R     562949953421312 72057594037927936 36028797018963968   72057594037927936
+--R     6845471433603153  2562721126199503  640680445312963     655052349
+--R    [----------------,-----------------,----------------,-----------------],
+--R     4503599627370496 36028797018963968 9007199254740992 36028797018963968
+--R     3445253714938429  5055993143265251  157999872239639     2768403197
+--R    [----------------,-----------------,----------------,-----------------],
+--R     2251799813685248 72057594037927936 2251799813685248 72057594037927936
+--R     6935543426150563  4987567251966835  155861502943321     842219437
+--R    [----------------,-----------------,----------------,-----------------],
+--R     4503599627370496 72057594037927936 2251799813685248 72057594037927936
+--R     1745144855606067  2460071480612773  1230035851495193     222377613
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     1125899906842624 36028797018963968 18014398509481984 36028797018963968
+--R     7025615418697973  303356616220161  1213426364546125       100334519
+--R    [----------------,----------------,-----------------,- -----------------],
+--R     4503599627370496 4503599627370496 18014398509481984   18014398509481984
+--R     3535325707485839  2394120767669559  74816221407683        1682623703
+--R    [----------------,-----------------,----------------,- -----------------],
+--R     2251799813685248 36028797018963968 1125899906842624   36028797018963968
+--R     7115687411245383  2361864185698481  147616430071889       1304548257
+--R    [----------------,-----------------,----------------,- -----------------],
+--R     4503599627370496 36028797018963968 2251799813685248   36028797018963968
+--R     447545212969943  2330075978088649  2330076375018865     49616277
+--R    [---------------,-----------------,-----------------,----------------],
+--R     281474976710656 36028797018963968 36028797018963968 4503599627370496
+--R     7205759403792793  4597505083920723  574687992082793       1147258379
+--R    [----------------,-----------------,----------------,- -----------------],
+--R     4503599627370496 72057594037927936 9007199254740992   72057594037927936
+--R     3625397700033249  4535766137349027  1133941101834729       1730010111
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     2251799813685248 72057594037927936 18014398509481984   72057594037927936
+--R     7295831396340203  8949841409886801   1118729880719691       2364129273
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 18014398509481984   144115188075855872
+--R     ,
+--R     1835216848153477  4414954375185037  275934682108839     538556387
+--R    [----------------,-----------------,----------------,-----------------],
+--R     1125899906842624 72057594037927936 4503599627370496 72057594037927936
+--R     7385903388887613  1088964985578633  544482059274069       867030495
+--R    [----------------,-----------------,----------------,- -----------------],
+--R     4503599627370496 18014398509481984 9007199254740992   18014398509481984
+--R     3715469692580659  4297608583294271  2148805178306387     1773318503
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     2251799813685248 72057594037927936 36028797018963968 72057594037927936
+--R     7475975381435023  2120100149062127  2120101482976523     333478599
+--R    [----------------,-----------------,-----------------,----------------],
+--R     4503599627370496 36028797018963968 36028797018963968 9007199254740992
+--R     940126422213591  4183620675285673  522952619291535     279046607
+--R    [---------------,-----------------,----------------,-----------------],
+--R     562949953421312 72057594037927936 9007199254740992 72057594037927936
+--R     7566047373982433  8255696195000633   515981401971559     6236544311
+--R    [----------------,------------------,----------------,------------------],
+--R     4503599627370496 144115188075855872 9007199254740992 144115188075855872
+--R     3805541685128069  8145765129536371   2036440440533689       3367401615
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     2251799813685248 144115188075855872 36028797018963968   144115188075855872
+--R     ,
+--R     7656119366529843  8037390508103327   31396072756099     4117458017
+--R    [----------------,------------------,---------------,------------------],
+--R     4503599627370496 144115188075855872 562949953421312 144115188075855872
+--R     1925288840700887  7930572330701503   1982644050184893     3870038069
+--R    [----------------,------------------,-----------------,------------------],
+--R     1125899906842624 144115188075855872 36028797018963968 144115188075855872
+--R     7746191359077253  3912640887146641  3912641055431445      42071201
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 72057594037927936 72057594037927936 18014398509481984
+--R     3895613677675479  7721490015841051   60324128235397        1601710235
+--R    [----------------,------------------,----------------,- ------------------],
+--R     2251799813685248 144115188075855872 1125899906842624   144115188075855872
+--R     7836263351624663  7619168232307193   238099112334583     3362399463
+--R    [----------------,------------------,----------------,------------------],
+--R     4503599627370496 144115188075855872 4503599627370496 144115188075855872
+--R     7  3759151006086451  1879577138474159     3270861867
+--R    [-,-----------------,-----------------,-----------------],
+--R     4 72057594037927936 36028797018963968 72057594037927936
+--R     990791918021509  7418876943919369   1854719150386665        342372709
+--R    [---------------,------------------,-----------------,- ------------------],
+--R     562949953421312 144115188075855872 36028797018963968   144115188075855872
+--R     7971371340445777  1830212448247543  1830213361911881     456832169
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 36028797018963968 36028797018963968 18014398509481984
+--R     4008203668359741  3612110279692655  3612108597072727       210327491
+--R    [----------------,-----------------,-----------------,- ----------------],
+--R     2251799813685248 72057594037927936 72057594037927936   9007199254740992
+--R     8061443332993187  3564473004274181  445559145434343     159200563
+--R    [----------------,-----------------,----------------,-----------------],
+--R     4503599627370496 72057594037927936 9007199254740992 72057594037927936
+--R     2026619832316723  7035026140479327   3517509854065905       6432347517
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     1125899906842624 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     8151515325540597  3471208860310891  867802071039309        576153655
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 72057594037927936 18014398509481984   72057594037927936
+--R     4098275660907151  6851120748975727   856389562404779        4249737495
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     2251799813685248 144115188075855872 18014398509481984   144115188075855872
+--R     ,
+--R     8241587318088007  6761106402503547   422568715406709       6955996203
+--R    [----------------,------------------,----------------,- ------------------],
+--R     4503599627370496 144115188075855872 9007199254740992   144115188075855872
+--R     517913957147607  1668086464541907  1668086425626447        9728865
+--R    [---------------,-----------------,-----------------,- ----------------],
+--R     281474976710656 36028797018963968 36028797018963968   9007199254740992
+--R     8331659310635417  205776222373999  3292417949740415       1608243569
+--R    [----------------,----------------,-----------------,- -----------------],
+--R     4503599627370496 4503599627370496 72057594037927936   72057594037927936
+--R     4188347653454561  6498557352866953   3249275501393679       6350079595
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     2251799813685248 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     8421731303182827  801683968228371   3206736152145781     279232297
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 18014398509481984 72057594037927936 72057594037927936
+--R     2116691824864133  1582395573712003  3164790707963205       439460801
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     1125899906842624 36028797018963968 72057594037927936   72057594037927936
+--R     8511803295730237  6246860176892471   3123430131698155      86503839
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 144115188075855872 72057594037927936 144115188075855872
+--R     4278419646001971  96332671569399   3082645540013927      49793159
+--R    [----------------,----------------,-----------------,-----------------],
+--R     2251799813685248 2251799813685248 72057594037927936 72057594037927936
+--R     8601875288277647  6084860293976401   380303525047521       3893216065
+--R    [----------------,------------------,----------------,- ------------------],
+--R     4503599627370496 144115188075855872 9007199254740992   144115188075855872
+--R     1080863910568919  3002769647229725  1501384764068569       119092587
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R      562949953421312 72057594037927936 36028797018963968   72057594037927936
+--R     8691947280825057  5927327981890683   2963661083626523       5814637637
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     4368491638549381  2925091560856839  731273642346867      3008530629
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     2251799813685248 72057594037927936 18014398509481984 72057594037927936
+--R     8782019273372467  5774119125447241   1443530913707845     4529384139
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 144115188075855872 36028797018963968 144115188075855872
+--R     2206763817411543  2849553585026879  1424777418242143     1251457407
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     1125899906842624 72057594037927936 36028797018963968 72057594037927936
+--R     8872091265919877  5625132844014421   2812565709524361       1424965699
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     4458563631096791  5552167324291615   2776086691064231     6057836847
+--R    [----------------,------------------,-----------------,------------------],
+--R     2251799813685248 144115188075855872 72057594037927936 144115188075855872
+--R     8962163258467287  1370056255601037  342513769340691       1178238273
+--R    [----------------,-----------------,----------------,- -----------------],
+--R     4503599627370496 36028797018963968 9007199254740992   36028797018963968
+--R        5409262703795597   338078575096777       5502247165
+--R    [2,------------------,----------------,- ------------------]]
+--R       144115188075855872 9007199254740992   144115188075855872
+--R                                             Type: List List Fraction Integer
 --E 3
 
 \end{chunk}
+
+The actual table values from above are:
+\begin{verbatim}
+ [0.5,                 0.32664389999999999,
+                       0.326643862324553,
+                      -3.7675446984408723E-8],
+ [0.51000000000000001, 0.32110620000000001, 
+                       0.32110617940404323,
+                      -2.0595956773394875E-8]
+ [0.52000000000000002, 0.31568629999999998, 
+                       0.31568625309046355,
+                      -4.6909536421946285E-8]
+ [0.53000000000000003, 0.31038070000000001, 
+                       0.31038066931747649,
+                      -3.0682523521896599E-8]
+ [0.54000000000000004, 0.30518620000000002, 
+                       0.30518615409477512,
+                      -4.5905224899112085E-8]
+ [0.55000000000000004, 0.30009960000000002, 
+                       0.30009956561466999,
+                      -3.4385330027753014E-8]
+ [0.56000000000000005, 0.29511789999999999, 
+                       0.29511788693397883,
+                      -1.3066021153917973E-8]
+ [0.56999999999999995, 0.2902382,
+                       0.29023821917982273,
+                       1.9179822730031049E-8],
+ [0.57999999999999996, 0.28545779999999998, 
+                       0.28545777523334881,
+                      -2.4766651174346066E-8]
+ [0.58999999999999997, 0.28077390000000002, 
+                       0.28077387385015457,
+                      -2.6149845455680776E-8]
+ [0.59999999999999998, 0.27618389999999998, 
+                       0.27618393418038506,
+                       3.4180385077853259E-8]
+ [0.60999999999999999, 0.27168550000000002, 
+                       0.27168547065517928,
+                      -2.9344820740018207E-8]
+ [0.62,                0.26727610000000002,
+                       0.26727608820941573,
+                      -1.1790584286686112E-8],
+ [0.63,                0.26295350000000001,
+                       0.26295347781362555,
+                      -2.2186374459831626E-8],
+ [0.64000000000000001, 0.25871539999999998, 
+                       0.25871541229051526,
+                       1.2290515272184166E-8]
+ [0.65000000000000002, 0.2545597,
+                       0.25455974239385432,
+                       4.2393854315925239E-8],
+ [0.66000000000000003, 0.2504844,
+                       0.25048439312952969,
+                      -6.8704703037880677E-9],
+ [0.67000000000000004, 0.2464874,
+                       0.24648736030041074,
+                      -3.969958925487127E-8],
+ [0.68000000000000005, 0.2425667,
+                       0.24256670725830815,
+                       7.2583081489607792E-9],
+ [0.68999999999999995, 0.23872060000000001, 
+                       0.23872056184779239,
+                      -3.8152207615382849E-8]
+ [0.69999999999999996, 0.23494709999999999, 
+                       0.23494711352795306,
+                       1.3527953063308118E-8]
+ [0.70999999999999996, 0.23124459999999999, 
+                       0.23124461065938429,
+                       1.0659384291900054E-8]
+ [0.71999999999999997, 0.22761139999999999, 
+                       0.22761135794474674,
+                      -4.2055253252071267E-8]
+ [0.72999999999999998, 0.22404569999999999, 
+                       0.22404571401223494,
+                       1.4012234955673719E-8]
+ [0.73999999999999999, 0.22054609999999999, 
+                       0.22054608913215246,
+                      -1.0867847538564845E-8]
+ [0.75,                0.2171109,
+                       0.21711094305759215,
+                       4.3057592158390889E-8],
+ [0.76000000000000001, 0.21373880000000001, 
+                       0.21373878298094046,
+                      -1.7019059550538174E-8]
+ [0.77000000000000002, 0.21042820000000001, 
+                       0.21042816159857808,
+                      -3.8401421931233415E-8]
+ [0.78000000000000003, 0.20717769999999999, 
+                       0.2071776752767438,
+                      -2.4723256192293874E-8]
+ [0.79000000000000004, 0.203986,
+                       0.20398596231206947,
+                      -3.7687930526386637E-8],
+ [0.80000000000000004, 0.20085169999999999, 
+                       0.20085170128078714,
+                       1.2807871430098317E-9]
+ [0.81000000000000005, 0.19777359999999999, 
+                       0.19777360947106051,
+                       9.4710605191838937E-9]
+ [0.81999999999999995, 0.19475039999999999, 
+                       0.19475044139330239,
+                       4.1393302396830478E-8]
+ [0.82999999999999996, 0.19178100000000001, 
+                       0.19178098736371621,
+                      -1.2636283797107239E-8]
+ [0.83999999999999997, 0.18886410000000001, 
+                       0.18886407215664666,
+                      -2.7843353345158306E-8]
+ [0.84999999999999998, 0.18599859999999999, 
+                       0.18599855372163451,
+                      -4.627836547310693E-8]
+ [0.85999999999999999, 0.18318329999999999, 
+                       0.1831833219613668,
+                       2.1961366808431748E-8]
+ [0.87,                0.1804173,
+                       0.18041729756697517,
+                      -2.4330248371562391E-9],
+ [0.88,                0.17769940000000001,
+                       0.17769943090737958,
+                       3.0907379572342464E-8],
+ [0.89000000000000001, 0.17502870000000001, 
+                       0.17502870096960518,
+                       9.696051739283007E-10]
+ [0.90000000000000002, 0.1724041,
+                       0.17240411434719952,
+                       1.4347199511766107E-8],
+ [0.91000000000000003, 0.1698247,
+                       0.16982470427407523,
+                       4.2740752326242415E-9],
+ [0.92000000000000004, 0.16728950000000001, 
+                       0.1672895297012775,
+                       2.9701277493021649E-8]
+ [0.93000000000000005, 0.16479769999999999, 
+                       0.16479767441433715,
+                      -2.5585662838389922E-8]
+ [0.93999999999999995, 0.1623482,
+                       0.16234824618902396,
+                       4.6189023966691778E-8],
+ [0.94999999999999996, 0.15994040000000001, 
+                       0.15994037598345329,
+                      -2.4016546723570897E-8]
+ [0.95999999999999996, 0.1575732,
+                       0.15757321716462735,
+                       1.7164627358345896E-8],
+ [0.96999999999999997, 0.15524589999999999, 
+                       0.15524594476761389,
+                       4.4767613893714753E-8]
+ [0.97999999999999998, 0.1529578,
+                       0.15295775478567628,
+                      -4.5214323729503292E-8],
+ [0.98999999999999999, 0.15070790000000001, 
+                       0.15070786348977031,
+                      -3.6510229700636998E-8]
+ [1.,                  0.1484955,
+                       0.14849550677592205,
+                       6.7759220456764524E-9],
+ [1.01,                0.1463199,
+                       0.14631993953908851,
+                       3.9539088503293129E-8],
+ [1.02,                0.14418039999999999,
+                       0.14418043507218453,
+                       3.5072184545459351E-8],
+ [1.03,                0.14207629999999999,
+                       0.1420762844890415,
+                      -1.551095848983941E-8],
+ [1.04,                0.14000679999999999,
+                       0.14000679617012995,
+                      -3.8298700322236812E-9],
+ [1.05,                0.13797129999999999,
+                       0.13797129522994891,
+                      -4.7700510763526438E-9],
+ [1.0600000000000001,  0.13596910000000001, 
+                       0.13596912300504763,
+                       2.3005047616875274E-8]
+ [1.0700000000000001,  0.1339996,
+                       0.13399963656170108,
+                       3.6561701083348552E-8],
+ [1.0800000000000001,  0.13206219999999999, 
+                       0.13206220822231926,
+                       8.2223192698904768E-9]
+ [1.0900000000000001,  0.1301562,
+                       0.13015622510971911,
+                       2.5109719109517314E-8],
+ [1.1000000000000001,  0.12828110000000001, 
+                       0.12828108870843541,
+                      -1.1291564600002246E-8]
+ [1.1100000000000001,  0.1264362,
+                       0.12643621444229519,
+                       1.4442295193095589E-8],
+ [1.1200000000000001,  0.124621,
+                       0.12462103126751783,
+                       3.1267517838773351E-8],
+ [1.1299999999999999,  0.122835,
+                       0.12283498128064541,
+                      -1.871935459418772E-8],
+ [1.1399999999999999,  0.1210775,
+                       0.12107751934064451,
+                       1.934064450259676E-8],
+ [1.1499999999999999,  0.1193481,
+                       0.11934811270455489,
+                       1.270455489421618E-8],
+ [1.1599999999999999,  0.11764620000000001, 
+                       0.11764624067609286,
+                       4.0676092855074231E-8]
+ [1.1699999999999999,  0.1159714,
+                       0.11597139426664799,
+                      -5.7333520153690642E-9],
+ [1.1799999999999999,  0.1143231,
+                       0.11432307586814175,
+                      -2.4131858247788962E-8],
+ [1.1899999999999999,  0.1127008,
+                       0.11270079893724061,
+                      -1.0627593943768332E-9],
+ [1.2,                 0.1111041,
+                       0.11110408769044711,
+                      -1.2309552890887865E-8],
+ [1.21,                0.1095325,
+                       0.10953247680961009,
+                      -2.3190389913940734E-8],
+ [1.22,                0.1079855,
+                       0.10798551115742314,
+                       1.1157423138175027E-8],
+ [1.23,                0.10646269999999999,
+                       0.10646274550249626,
+                       4.5502496270888315E-8],
+ [1.24,                0.10496369999999999,
+                       0.10496374425361385,
+                       4.4253613856737317E-8],
+ [1.25,                0.1034881,
+                       0.10348808120280234,
+                      -1.8797197659514708E-8],
+ [1.26,                0.1020353,
+                       0.10203533927685385,
+                       3.9276853852632243E-8],
+ [1.27,                0.1006051,
+                       0.10060511029696789,
+                       1.0296967889455999E-8],
+ [1.28,                9.9196999999999994E-2,
+                       9.9196994746190731E-2,
+                      -5.2538092626397415E-9],
+ [1.29,                9.7810599999999998E-2,
+                       9.7810601544343179E-2,
+                       1.5443431811146269E-9],
+ [1.3,                 9.6445500000000003E-2,
+                       9.6445547830144779E-2,
+                       4.7830144775384831E-8],
+ [1.3100000000000001,  9.5101500000000005E-2, 
+                       9.5101458750257717E-2,
+                      -4.1249742288584912E-8]
+ [1.3200000000000001,  9.3778E-2,
+                       9.3777967254982664E-2,
+                      -3.2745017336521798E-8]
+ [1.3300000000000001,  9.2474700000000007E-2, 
+                       9.2474713900349198E-2,
+                       1.3900349191131589E-8]
+ [1.3400000000000001,  9.1191300000000003E-2, 
+                       9.1191346656366773E-2,
+                       4.6656366770037039E-8]
+ [1.3500000000000001,  8.9927499999999994E-2, 
+                       8.9927520721194559E-2,
+                       2.072119456575372E-8]
+ [1.3600000000000001,  8.8682899999999995E-2, 
+                       8.8682898341016198E-2,
+                      -1.6589837975589106E-9]
+ [1.3700000000000001,  8.7457099999999996E-2, 
+                       8.7457148635403298E-2,
+                       4.8635403301910962E-8]
+ [1.3799999999999999,  8.6249900000000004E-2, 
+                       8.6249947427970763E-2,
+                       4.7427970759073013E-8]
+ [1.3899999999999999,  8.5060999999999998E-2, 
+                       8.5060977082121597E-2,
+                      -2.2917878400585678E-8]
+ [1.3999999999999999,  8.3889900000000003E-2, 
+                       8.3889926341705251E-2,
+                       2.6341705247623359E-8]
+ [1.4099999999999999,  8.2736500000000004E-2, 
+                       8.2736490176409327E-2,
+                      -9.8235906770272052E-9]
+ [1.4199999999999999,  8.1600400000000003E-2, 
+                       8.1600369631709052E-2,
+                      -3.0368290951376942E-8]
+ [1.4299999999999999,  8.0481300000000006E-2, 
+                       8.0481271683224637E-2,
+                      -2.8316775368963931E-8]
+ [1.4399999999999999,  7.9378900000000002E-2, 
+                       7.9378909095316863E-2,
+                       9.0953168607743606E-9]
+ [1.45,                7.8293000000000001E-2,
+                       7.8293000283781833E-2,
+                       2.8378183136723578E-10],
+ [1.46,                7.7223299999999995E-2,
+                       7.7223269182499166E-2,
+                      -3.0817500829005695E-8],
+ [1.47,                7.6169399999999998E-2,
+                       7.6169445113894313E-2,
+                       4.5113894314718905E-8],
+ [1.48,                7.5131299999999998E-2,
+                       7.5131262663086618E-2,
+                      -3.7336913380481285E-8],
+ [1.49,                7.4108499999999994E-2,
+                       7.4108461555594529E-2,
+                      -3.844440546463268E-8],
+ [1.5,                 7.3100799999999994E-2,
+                       7.3100786538480983E-2,
+                      -1.3461519010604661E-8],
+ [1.51,                7.2108000000000005E-2,
+                       7.2107987264816237E-2,
+                      -1.2735183768652902E-8],
+ [1.52,                7.1129800000000007E-2,
+                       7.1129818181354831E-2,
+                       1.8181354824453599E-8],
+ [1.53,                7.0166000000000006E-2,
+                       7.0166038419312571E-2,
+                       3.8419312564652586E-8],
+ [1.54,                6.9216399999999997E-2,
+                       6.9216411688142798E-2,
+                       1.168814280083641E-8],
+ [1.55,                6.82807E-2,
+                       6.8280706172218819E-2,
+                       6.172218819378017E-9],
+ [1.5600000000000001,  6.7358699999999994E-2, 
+                       6.735869443031553E-2,
+                      -5.5696844636354825E-9]
+ [1.5700000000000001,  6.6450200000000001E-2, 
+                       6.6450153297810788E-2,
+                      -4.670218921309921E-8]
+ [1.5800000000000001,  6.5554899999999999E-2, 
+                       6.5554863791512402E-2,
+                      -3.6208487597111372E-8]
+ [1.5900000000000001,  6.4672599999999997E-2, 
+                       6.4672611017026815E-2,
+                       1.1017026818604947E-8]
+ [1.6000000000000001,  6.3803200000000004E-2, 
+                       6.380318407859184E-2,
+                      -1.5921408164087936E-8]
+ [1.6100000000000001,  6.29464E-2,
+                       6.2946375991286996E-2,
+                      -2.400871300378693E-8]
+ [1.6200000000000001,  6.2101999999999997E-2, 
+                       6.210198359555763E-2,
+                      -1.6404442367001781E-8]
+ [1.6299999999999999,  6.1269799999999999E-2, 
+                       6.1269807473971261E-2,
+                       7.4739712613292042E-9]
+ [1.6399999999999999,  6.0449700000000002E-2, 
+                       6.0449651870139426E-2,
+                      -4.8129860576173744E-8]
+ [1.6499999999999999,  5.9641300000000001E-2, 
+                       5.9641324609737895E-2,
+                       2.460973789336629E-8]
+ [1.6599999999999999,  5.8844599999999997E-2, 
+                       5.884463702356188E-2,
+                       3.702356188295397E-8]
+ [1.6699999999999999,  5.8059399999999997E-2, 
+                       5.8059403872549598E-2,
+                       3.8725496004365922E-9]
+ [1.6799999999999999,  5.72854E-2,
+                       5.7285443274719294E-2,
+                       4.3274719294106312E-8],
+ [1.6899999999999999,  5.6522599999999999E-2, 
+                       5.6522576633957849E-2,
+                      -2.3366042149752797E-8]
+ [1.7,                 5.5770599999999997E-2,
+                       5.5770628570604719E-2,
+                       2.8570604722333304E-8],
+ [1.71,                5.5029399999999999E-2,
+                       5.5029426853783953E-2,
+                       2.685378395345106E-8],
+ [1.72,                5.4298800000000001E-2,
+                       5.4298802335420795E-2,
+                       2.3354207942527516E-9],
+ [1.73,                5.3578599999999997E-2,
+                       5.3578588885902612E-2,
+                      -1.1114097385467314E-8],
+ [1.74,                5.2868600000000002E-2,
+                       5.2868623331333131E-2,
+                       2.3331333129372744E-8],
+ [1.75,                5.2168699999999998E-2,
+                       5.2168745392327326E-2,
+                       4.539232732747589E-8],
+ [1.76,                5.1478799999999998E-2,
+                       5.1478797624312636E-2,
+                      -2.375687362110579E-9],
+ [1.77,                5.0798599999999999E-2,
+                       5.0798625359279745E-2,
+                       2.5359279745562624E-8],
+ [1.78,                5.0128100000000002E-2,
+                       5.0128076648957798E-2,
+                      -2.3351042204022843E-8],
+ [1.79,                4.9466999999999997E-2,
+                       4.9467002209351796E-2,
+                       2.209351798732051E-9],
+ [1.8,                 4.8815299999999999E-2,
+                       4.8815255366622776E-2,
+                      -4.4633377223324278E-8],
+ [1.8100000000000001,  4.8172699999999999E-2, 
+                       4.8172692004261553E-2,
+                      -7.995738446342493E-9]
+ [1.8200000000000001,  4.7539199999999997E-2, 
+                       4.7539170511522538E-2,
+                      -2.9488477458483597E-8]
+ [1.8300000000000001,  4.6914600000000001E-2, 
+                       4.691455173308047E-2,
+                      -4.8266919530637331E-8]
+ [1.8400000000000001,  4.6298699999999998E-2, 
+                       4.6298698919879575E-2,
+                      -1.0801204236576822E-9]
+ [1.8500000000000001,  4.5691500000000003E-2, 
+                       4.5691477681136752E-2,
+                      -2.2318863250603282E-8]
+ [1.8600000000000001,  4.5092800000000002E-2, 
+                       4.5092755937471779E-2,
+                      -4.4062528223309805E-8]
+ [1.8700000000000001,  4.4502399999999998E-2, 
+                       4.4502403875127772E-2,
+                       3.8751277742221646E-9]
+ [1.8799999999999999,  4.3920300000000002E-2, 
+                       4.3920293901256249E-2,
+                      -6.0987437530690691E-9]
+ [1.8899999999999999,  4.3346299999999997E-2, 
+                       4.3346300600241791E-2,
+                       6.0024179376894082E-10]
+ [1.8999999999999999,  4.27803E-2,
+                       4.2780300691019318E-2,
+                       6.9101931815529483E-10]
+ [1.9099999999999999,  4.2222200000000001E-2, 
+                       4.2222172985387205E-2,
+                      -2.701461279674966E-8]
+ [1.9199999999999999,  4.1671800000000002E-2, 
+                       4.1671798347258343E-2,
+                      -1.6527416588085764E-9]
+ [1.9299999999999999,  4.1129100000000002E-2, 
+                       4.1129059652846772E-2,
+                      -4.0347153229536303E-8]
+ [1.9399999999999999,  4.0593799999999999E-2, 
+                       4.0593841751750112E-2,
+                       4.1751750112783981E-8]
+ [1.95,                4.0065999999999997E-2,
+                       4.0066031428916418E-2,
+                       3.1428916420772612E-8],
+ [1.96,                3.9545499999999997E-2,
+                       3.9545517367460342E-2,
+                       1.7367460344863694E-8],
+ [1.97,                3.9032200000000003E-2,
+                       3.9032190112315068E-2,
+                      -9.8876849347062645E-9],
+ [1.98,                3.8525900000000002E-2,
+                       3.8525942034688052E-2,
+                       4.2034688049752411E-8],
+ [1.99,                3.8026699999999997E-2,
+                       3.8026667297318961E-2,
+                      -3.2702681035390313E-8],
+ [2.,                  3.75343E-2,
+                       3.7534261820490689E-2,
+                       -3.817950931100933E-8]]
+
+\end{verbatim}
+
 This table expresses the value of 
 $E_3$ with an argument range of 0.01 to 2.00.
+
 \begin{chunk}{*}
+
 --S 4 of 7
+t4:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_
+ for line in _
 [[0.01,0.4902766,En(3,0.01),En(3,0.01)-0.4902766],_
 [0.02,0.4809683,En(3,0.02),En(3,0.02)-0.4809683],_
 [0.03,0.4719977,En(3,0.03),En(3,0.03)-0.4719977],_
@@ -986,542 +1692,1248 @@ $E_3$ with an argument range of 0.01 to 2.00.
 [1.97,0.0312817,En(3,1.97),En(3,1.97)-0.0312817],_
 [1.98,0.0308939,En(3,1.98),En(3,1.98)-0.0308939],_
 [1.99,0.0305112,En(3,1.99),En(3,1.99)-0.0305112],_
-[2.00,0.0301334,En(3,2.00),En(3,2.00)-0.0301334]]
+[2.00,0.0301334,En(3,2.00),En(3,2.00)-0.0301334]]]
 --R 
 --R
 --R   (4)
---R   [[1.0E-2,0.49027660000000001,0.49027656418466514,- 3.5815334864519599E-8],
---R    [2.0E-2,0.48096830000000002,0.48096829147697201,- 8.5230280055803576E-9],
---R
---R     [2.9999999999999999E-2, 0.47199770000000002, 0.47199768719683605,
---R      - 1.2803163973451603E-8]
---R     ,
---R
---R     [4.0000000000000001E-2, 0.46332390000000001, 0.46332394174433533,
---R      4.1744335321780568E-8]
---R     ,
---R
---R     [5.0000000000000003E-2, 0.45491880000000001, 0.45491884974847663,
---R      4.9748476615985027E-8]
---R     ,
---R
---R     [5.9999999999999998E-2, 0.44676090000000002, 0.44676088323725571,
---R      - 1.6762744303733257E-8]
---R     ,
---R
---R     [7.0000000000000007E-2, 0.43883270000000002, 0.43883267979789509,
---R      - 2.0202104933364495E-8]
---R     ,
---R
---R     [8.0000000000000002E-2, 0.43111969999999999, 0.43111973054612684,
---R      3.054612685016167E-8]
---R     ,
---R
---R     [8.9999999999999997E-2, 0.42360959999999998, 0.42360960561704109,
---R      5.6170411100175954E-9]
---R     ,
---R
---R     [0.10000000000000001, 0.41629149999999998, 0.41629145790827876,
---R      - 4.2091721219605915E-8]
---R     ,
---R    [0.11,0.40915570000000001,0.40915568570605237,- 1.4293947636634385E-8],
---R    [0.12,0.40219369999999999,0.40219369277059286,- 7.2294071284950689E-9],
---R    [0.13,0.39539770000000002,0.395397711576501,1.1576500980048365E-8],
---R
---R     [0.14000000000000001, 0.38876070000000001, 0.38876066929878084,
---R      - 3.0701219178030925E-8]
---R     ,
---R
---R     [0.14999999999999999, 0.38227610000000001, 0.38227608377400268,
---R      - 1.6225997323537911E-8]
---R     ,
---R    [0.16,0.37593799999999999,0.37593798110903431,- 1.8890965680640193E-8],
---R
---R     [0.17000000000000001, 0.36974079999999998, 0.36974082931670565,
---R      2.9316705674187205E-8]
---R     ,
---R
---R     [0.17999999999999999, 0.36367949999999999, 0.36367948407235051,
---R      - 1.5927649477109895E-8]
---R     ,
---R    [0.19,0.35774909999999999,0.3577491438077095,4.3807709515508719E-8],
---R
---R     [0.20000000000000001, 0.35194530000000002, 0.35194531211487057,
---R      1.2114870551194201E-8]
---R     ,
---R
---R     [0.20999999999999999, 0.34626380000000001, 0.3462637659551443,
---R      - 3.4044855712345168E-8]
---R     ,
---R    [0.22,0.34070050000000002,0.34070052853638638,2.8536386365018984E-8],
---R
---R     [0.23000000000000001, 0.33525179999999999, 0.33525184598756436,
---R      4.5987564367688805E-8]
---R     ,
---R
---R     [0.23999999999999999, 0.32991419999999999, 0.32991416715361832,
---R      - 3.2846381670115221E-8]
---R     ,
---R    [0.25,0.32468409999999998,0.32468412597814367,2.5978143691762767E-8],
---R
---R     [0.26000000000000001, 0.31955850000000002, 0.31955852605039498,
---R      2.6050394952292777E-8]
---R     ,
---R
---R     [0.27000000000000002, 0.31453429999999999, 0.31453432697636552,
---R      2.6976365530284596E-8]
---R     ,
---R
---R     [0.28000000000000003, 0.30960860000000001, 0.30960863229804725,
---R      3.2298047236700711E-8]
---R     ,
---R
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---R      1.0047171129790033E-8]
---R     ,
---R
---R     [1.8500000000000001, 3.6353999999999997E-2, 3.6353966301762304E-2,
---R      - 3.3698237693335908E-8]
---R     ,
---R
---R     [1.8600000000000001, 3.5900099999999997E-2, 3.5900052162149899E-2,
---R      - 4.7837850097876E-8]
---R     ,
---R
---R     [1.8700000000000001, 3.54521E-2, 3.5452083284321229E-2,
---R      - 1.6715678771705988E-8]
---R     ,
---R
---R     [1.8799999999999999, 3.5009999999999999E-2, 3.5009976611261075E-2,
---R      - 2.3388738924767782E-8]
---R     ,
---R
---R     [1.8899999999999999, 3.4573699999999999E-2, 3.4573650350956942E-2,
---R      - 4.9649043057375941E-8]
---R     ,
---R    [1.8999999999999999,3.4143E-2,3.414302395484918E-2,2.3954849180662929E-8],
---R
---R     [1.9099999999999999, 3.3717999999999998E-2, 3.3718018096686453E-2,
---R      1.8096686454915911E-8]
---R     ,
---R
---R     [1.9199999999999999, 3.3298599999999998E-2, 3.3298554651807068E-2,
---R      - 4.5348192929950404E-8]
---R     ,
---R
---R     [1.9299999999999999, 3.28846E-2, 3.2884556676814732E-2,
---R      - 4.3323185268395736E-8]
---R     ,
---R
---R     [1.9399999999999999, 3.2475900000000002E-2, 3.2475948389653855E-2,
---R      4.8389653853342374E-8]
---R     ,
---R    [1.95,3.2072700000000003E-2,3.2072655150063287E-2,- 4.4849936715884997E-8],
---R    [1.96,3.1674599999999997E-2,3.167460344041137E-2,3.4404113724573193E-9],
---R    [1.97,3.1281700000000003E-2,3.1281720846895129E-2,2.0846895126824805E-8],
---R    [1.98,3.0893899999999998E-2,3.0893936041105241E-2,3.6041105242606841E-8],
---R    [1.99,3.0511199999999999E-2,3.0511178761929561E-2,- 2.1238070437717971E-8],
---R    [2.,3.0133400000000001E-2,3.0133379797815663E-2,- 2.0202184338596885E-8]]
---R                               Type: List List OnePointCompletion DoubleFloat
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+--R   [[------------------,----------------,----------------,- ----------------],
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+--R    [------------------,-----------------,-----------------,- ----------------],
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+--R    [-----------------,----------------,-----------------,- -----------------],
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+--R    [-----------------,-----------------,----------------,-----------------],
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+--R      7205759403792793  2048772138163833 1024386181105527     224047221
+--R    [------------------,----------------,----------------,----------------],
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+--R    [-----------------,-----------------,----------------,- -----------------],
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+--R    [-----------------,----------------,----------------,- ---------------],
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+--R    [-----------------,---------------,----------------,----------------],
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+--R    [-----------------,-----------------,----------------,-----------------],
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+--R    [----------------,-----------------,-----------------,- ----------------],
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+--R    [----------------,----------------,-----------------,- -----------------],
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+--R    [-----------------,-----------------,----------------,- -----------------],
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+--R    [-----------------,----------------,----------------,- ----------------],
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+--R    [-----------------,----------------,-----------------,-----------------],
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+--R    [-----------------,-----------------,----------------,- -----------------],
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+--R    [-----------------,-----------------,-----------------,----------------],
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+--R    [-----------------,-----------------,----------------,-----------------],
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+--R    [-----------------,-----------------,----------------,- -----------------],
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+--R      990791918021509 3068757289689883  6137515093445603     514065837
+--R    [----------------,----------------,-----------------,-----------------],
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+--R    [----------------,---------------,-----------------,-----------------],
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+--R    [-----------------,----------------,---------------,----------------],
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+--R    [-----------------,-----------------,-----------------,----------------],
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+--R    [-----------------,-----------------,----------------,-----------------],
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+--R    [-----------------,--------------,----------------,- ----------------],
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+--R    [-----------------,-----------------,----------------,-----------------],
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+--R    [----------------,-----------------,----------------,-----------------],
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+--R     4503599627370496 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     4278419646001971  4920524866473947   4920528318731601      1726128827
+--R    [----------------,------------------,------------------,-----------------],
+--R     2251799813685248 144115188075855872 144115188075855872 72057594037927936
+--R     8601875288277647  1214818977885427  4859278519549139      2608007431
+--R    [----------------,-----------------,------------------,------------------],
+--R     4503599627370496 36028797018963968 144115188075855872 144115188075855872
+--R     1080863910568919  2399417000831347  4798827466299341        6535363353
+--R    [----------------,-----------------,------------------,- ------------------]
+--R      562949953421312 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     8691947280825057  2369585156899645  4739164070270357        6243528933
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     4368491638549381  4680270436432687   2340138705058407     6973684127
+--R    [----------------,------------------,-----------------,------------------],
+--R     2251799813685248 144115188075855872 72057594037927936 144115188075855872
+--R     8782019273372467  2311081596300251  4622156729043499        6463557003
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     2206763817411543  285299433514219  1141197858010759     123953883
+--R    [----------------,----------------,-----------------,-----------------],
+--R     1125899906842624 9007199254740992 36028797018963968 36028797018963968
+--R     8872091265919877  1127042019708125  4508171083186837      3004354337
+--R    [----------------,-----------------,------------------,------------------],
+--R     4503599627370496 36028797018963968 144115188075855872 144115188075855872
+--R     4458563631096791  8904560417793367   4452285402967471      10388141575
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 144115188075855872 288230376151711744
+--R
+--R      8962163258467287   8794254652840107    4397124265691601
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  144115188075855872
+--R            6121456905
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R        4342680608364995   542834712115425        2911441595
+--R    [2,------------------,-----------------,- ------------------]]
+--R       144115188075855872 18014398509481984   144115188075855872
+--R                                             Type: List List Fraction Integer
 --E 4
 
 \end{chunk}
+
+The actual table values from above are:
+\begin{verbatim}
+  [1.0E-2,                0.49027660000000001,
+                          0.49027656418466514,
+                         -3.5815334864519599E-8]
+  [2.0E-2,                0.48096830000000002,
+                          0.48096829147697201,
+                         -8.5230280055803576E-9]
+  [2.9999999999999999E-2, 0.47199770000000002, 
+                          0.47199768719683605, 
+                         -1.2803163973451603E-8]
+  [4.0000000000000001E-2, 0.46332390000000001, 
+                          0.46332394174433533,   
+                          4.1744335321780568E-8]
+  [5.0000000000000003E-2, 0.45491880000000001, 
+                          0.45491884974847663,   
+                          4.9748476615985027E-8]
+  [5.9999999999999998E-2, 0.44676090000000002, 
+                          0.44676088323725571,   
+                         -1.6762744303733257E-8]
+  [7.0000000000000007E-2, 0.43883270000000002, 
+                          0.43883267979789509,   
+                         -2.0202104933364495E-8]
+  [8.0000000000000002E-2, 0.43111969999999999, 
+                          0.43111973054612684,   
+                          3.054612685016167E-8]
+  [8.9999999999999997E-2, 0.42360959999999998, 
+                          0.42360960561704109,   
+                          5.6170411100175954E-9]
+  [0.10000000000000001,   0.41629149999999998, 
+                          0.41629145790827876,   
+                         -4.2091721219605915E-8]
+  [0.11,                  0.40915570000000001,
+                          0.40915568570605237,
+                         -1.4293947636634385E-8]
+  [0.12,                  0.40219369999999999,
+                          0.40219369277059286,
+                         -7.2294071284950689E-9]
+  [0.13,                  0.39539770000000002,
+                          0.395397711576501,
+                          1.1576500980048365E-8]
+  [0.14000000000000001,   0.38876070000000001, 
+                          0.38876066929878084,   
+                         -3.0701219178030925E-8]
+  [0.14999999999999999,   0.38227610000000001, 
+                          0.38227608377400268,   
+                         -1.6225997323537911E-8]
+  [0.16,                  0.37593799999999999,
+                          0.37593798110903431,
+                         -1.8890965680640193E-8]
+  [0.17000000000000001,   0.36974079999999998, 
+                          0.36974082931670565,   
+                          2.9316705674187205E-8]
+  [0.17999999999999999,   0.36367949999999999, 
+                          0.36367948407235051,   
+                         -1.5927649477109895E-8]
+  [0.19,                  0.35774909999999999,
+                          0.3577491438077095,
+                          4.3807709515508719E-8]
+  [0.20000000000000001,   0.35194530000000002, 
+                          0.35194531211487057,   
+                          1.2114870551194201E-8]
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+                          0.3462637659551443,   
+                         -3.4044855712345168E-8]
+  [0.22,                  0.34070050000000002,
+                          0.34070052853638638,
+                          2.8536386365018984E-8]
+  [0.23000000000000001,   0.33525179999999999, 
+                          0.33525184598756436,   
+                          4.5987564367688805E-8]
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+                         -3.2846381670115221E-8]
+  [0.25,                  0.32468409999999998,
+                          0.32468412597814367,
+                          2.5978143691762767E-8]
+  [0.26000000000000001,   0.31955850000000002, 
+                          0.31955852605039498,   
+                          2.6050394952292777E-8]
+  [0.27000000000000002,   0.31453429999999999, 
+                          0.31453432697636552,   
+                          2.6976365530284596E-8]
+  [0.28000000000000003,   0.30960860000000001, 
+                          0.30960863229804725,   
+                          3.2298047236700711E-8]
+  [0.28999999999999998,   0.30477870000000001, 
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+                          -2.126475112662618E-8]
+  [0.29999999999999999,   0.30004180000000003, 
+                          0.30004182656401435,   
+                          2.6564014321550644E-8]
+  [0.31,                  0.29539559999999998,
+                          0.29539555097726167,
+                         -4.9022738313198033E-8]
+  [0.32000000000000001,   0.29083740000000002, 
+                          0.29083743429861525,   
+                          3.4298615225747398E-8]
+  [0.33000000000000002,   0.28636519999999999, 
+                          0.28636515894092018,   
+                         -4.1059079802785448E-8]
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+                          0.28197650101764582,   
+                          1.0176458009603095E-9]
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+                          0.27766932452910809,   
+                          2.4529108078041872E-8]
+  [0.35999999999999999,   0.27344160000000001, 
+                          0.27344157605676817,   
+                         -2.3943231841627721E-8]
+  [0.37,                  0.26929130000000001,
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+                          3.3663821175089481E-8]
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+                          0.26121550408084138,   
+                          4.0808413870330185E-9]
+  [0.40000000000000002,   0.25728640000000003, 
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+                          2.3319944753019684E-8]
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+                          7.4700463037480347E-9]
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+                          2.4646209073608816E-8]
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+                          9.4306354669893011E-9]
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+                         -2.4027802775217211E-8]
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+                          0.15049169194016149,   
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+  [0.81000000000000005,   0.1423307,
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+  [1.01,                  0.10821790000000001,
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+  [1.02,                  0.1067654,
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+                          7.1674192594636615E-2,   
+                         -7.4053633780657435E-9]
+  [1.3300000000000001,    7.0742899999999997E-2, 
+                          7.0742945906179772E-2,   
+                          4.5906179774179989E-8]
+  [1.3400000000000001,    6.9824600000000001E-2, 
+                          6.9824632030397252E-2,   
+                          3.203039725119261E-8]
+  [1.3500000000000001,    6.8919099999999997E-2, 
+                          6.8919053836139416E-2,   
+                         -4.6163860581427407E-8]
+  [1.3600000000000001,    6.8026000000000003E-2, 
+                          6.8026017604886913E-2,   
+                          1.7604886909383666E-8]
+  [1.3700000000000001,    6.7145300000000005E-2, 
+                          6.7145332961148871E-2,   
+                          3.29611488658621E-8]
+  [1.3799999999999999,    6.6276799999999997E-2, 
+                          6.6276812804578436E-2,   
+                          1.2804578439218339E-8]
+  [1.3899999999999999,    6.5420300000000001E-2, 
+                          6.5420273243759597E-2,   
+                         -2.6756240403824627E-8]
+  [1.3999999999999999,    6.4575499999999994E-2, 
+                          6.457553353160958E-2,   
+                          3.3531609586190392E-8]
+  [1.4099999999999999,    6.3742400000000005E-2, 
+                          6.3742416002349978E-2,   
+                          1.6002349972898955E-8]
+  [1.4199999999999999,    6.2920699999999996E-2, 
+                          6.2920746010004802E-2,   
+                          4.6010004806085192E-8]
+  [1.4299999999999999,    6.2110400000000003E-2, 
+                          6.211035186837166E-2,   
+                         -4.8131628342662491E-8]
+  [1.4399999999999999,    6.13111E-2, 
+                          6.1311064792432743E-2,   
+                         -3.5207567257444783E-8]
+  [1.45,                  6.0522699999999999E-2, 
+                          6.0522718841157001E-2, 
+                          1.8841157002624787E-8]
+  [1.46,                  5.9745199999999998E-2, 
+                          5.9745150861655022E-2, 
+                         -4.9138344976329407E-8]
+  [1.47,                  5.8978200000000001E-2, 
+                          5.8978200434649602E-2, 
+                          4.3464960103323236E-10]
+  [1.48,                  5.8221700000000001E-2, 
+                          5.8221709821222274E-2, 
+                          9.8212222729432419E-9]
+  [1.49,                  5.7475499999999999E-2, 
+                          5.7475523910801435E-2, 
+                          2.3910801436044515E-8]
+  [1.5,                   5.6739499999999998E-2, 
+                          5.6739490170354172E-2, 
+                         -9.8296458264646169E-9]
+  [1.51,                  5.6013500000000001E-2, 
+                          5.6013458594752839E-2, 
+                         -4.140524716145233E-8]
+  [1.52,                  5.5297300000000001E-2, 
+                          5.52972816582777E-2, 
+                         -1.8341722300696528E-8]
+  [1.53,                  5.4590800000000002E-2, 
+                          5.4590814267229414E-2, 
+                          1.4267229411779603E-8]
+  [1.54,                  5.3893900000000002E-2, 
+                          5.3893913713619013E-2, 
+                          1.3713619011201938E-8]
+  [1.55,                  5.3206400000000001E-2, 
+                          5.3206439629901937E-2, 
+                          3.9629901936455436E-8]
+  [1.5600000000000001,    5.25283E-2,  
+                          5.2528253944736245E-2,    
+                         -4.6055263755451215E-8]
+  [1.5700000000000001,    5.1859200000000001E-2,  
+                          5.1859220839728763E-2,    
+                          2.083972876210094E-8]
+  [1.5800000000000001,    5.11992E-2, 
+                          5.1199206707146921E-2, 
+                          6.7071469211921197E-9]
+  [1.5900000000000001,    5.0548099999999999E-2,  
+                          5.0548080108570391E-2,    
+                         -1.9891429607621358E-8]
+  [1.6000000000000001,    4.9905699999999997E-2,  
+                          4.9905711734454218E-2,    
+                          1.1734454220813095E-8]
+  [1.6100000000000001,    4.9272000000000003E-2,  
+                          4.9271974364586212E-2,    
+                         -2.5635413791746942E-8]
+  [1.6200000000000001,    4.8646700000000001E-2,  
+                          4.8646742829405641E-2,    
+                          4.2829405640099072E-8]
+  [1.6299999999999999,    4.80299E-2,  
+                          4.8029893972168107E-2,    
+                         -6.0278318933515429E-9]
+  [1.6399999999999999,    4.74213E-2, 
+                          4.7421306611931634E-2, 
+                          6.6119316341484158E-9]
+  [1.6499999999999999,    4.6820899999999999E-2,  
+                          4.6820861507343305E-2,    
+                         -3.8492656694033567E-8]
+  [1.6599999999999999,    4.6228400000000003E-2,  
+                          4.622844132120392E-2,    
+                          4.1321203916866445E-8]
+  [1.6699999999999999,    4.5643900000000001E-2,  
+                          4.5643930585794489E-2,    
+                          3.0585794487392182E-8]
+  [1.6799999999999999,    4.5067200000000002E-2,  
+                          4.5067215668940779E-2,    
+                          1.5668940776814022E-8]
+  [1.6899999999999999,    4.4498200000000002E-2,  
+                          4.4498184740800251E-2,    
+                         -1.5259199750983221E-8]
+  [1.7,                   4.3936700000000002E-2, 
+                          4.3936727741353321E-2, 
+                          2.7741353318677664E-8]
+  [1.71,                  4.3382700000000003E-2, 
+                          4.3382736348575771E-2, 
+                          3.6348575767342073E-8]
+  [1.72,                  4.2836100000000002E-2, 
+                          4.283610394728473E-2, 
+                          3.9472847282451262E-9]
+  [1.73,                  4.22967E-2, 
+                          4.229672559863315E-2, 
+                          2.559863315071409E-8]
+  [1.74,                  4.1764500000000003E-2, 
+                          4.1764498010238606E-2, 
+                         -1.9897613973141048E-9]
+  [1.75,                  4.12393E-2, 
+                          4.1239319506936156E-2, 
+                          1.9506936156654664E-8]
+  [1.76,                  4.0721100000000003E-2, 
+                          4.0721090002130152E-2, 
+                         -9.9978698514524567E-9]
+  [1.77,                  4.0209700000000001E-2, 
+                          4.0209710969742136E-2, 
+                          1.0969742135491511E-8]
+  [1.78,                  3.97051E-2, 
+                          3.9705085416725308E-2, 
+                         -1.4583274692003823E-8]
+  [1.79,                  3.9207100000000002E-2, 
+                          3.920711785615049E-2, 
+                          1.7856150488770872E-8]
+  [1.8,                   3.8715699999999999E-2, 
+                          3.8715714280832765E-2, 
+                          1.4280832766333518E-8]
+  [1.8100000000000001,    3.8230800000000002E-2,  
+                          3.8230782137495319E-2,    
+                         -1.7862504683718861E-8]
+  [1.8200000000000001,    3.77522E-2, 
+                          3.7752230301454859E-2, 
+                          3.0301454859160692E-8]
+  [1.8300000000000001,    3.7280000000000001E-2,  
+                          3.7279969051817741E-2,    
+                         -3.0948182259959989E-8]
+  [1.8400000000000001,    3.6813899999999997E-2,  
+                          3.6813910047171126E-2,    
+                          1.0047171129790033E-8]
+  [1.8500000000000001,    3.6353999999999997E-2,  
+                          3.6353966301762304E-2,    
+                         -3.3698237693335908E-8]
+  [1.8600000000000001,    3.5900099999999997E-2,  
+                          3.5900052162149899E-2,    
+                         -4.7837850097876E-8]
+  [1.8700000000000001,    3.54521E-2,  
+                          3.5452083284321229E-2,    
+                         -1.6715678771705988E-8]
+  [1.8799999999999999,    3.5009999999999999E-2,  
+                          3.5009976611261075E-2,    
+                         -2.3388738924767782E-8]
+  [1.8899999999999999,    3.4573699999999999E-2,  
+                          3.4573650350956942E-2,    
+                         -4.9649043057375941E-8]
+  [1.8999999999999999,    3.4143E-2, 
+                          3.414302395484918E-2, 
+                          2.3954849180662929E-8]
+  [1.9099999999999999,    3.3717999999999998E-2,  
+                          3.3718018096686453E-2,    
+                          1.8096686454915911E-8]
+  [1.9199999999999999,    3.3298599999999998E-2,  
+                          3.3298554651807068E-2,    
+                         -4.5348192929950404E-8]
+  [1.9299999999999999,    3.28846E-2,  
+                          3.2884556676814732E-2,    
+                         -4.3323185268395736E-8]
+  [1.9399999999999999,    3.2475900000000002E-2,  
+                          3.2475948389653855E-2,    
+                          4.8389653853342374E-8]
+  [1.95,                  3.2072700000000003E-2, 
+                          3.2072655150063287E-2, 
+                         -4.4849936715884997E-8]
+  [1.96,                  3.1674599999999997E-2, 
+                          3.167460344041137E-2, 
+                          3.4404113724573193E-9]
+  [1.97,                  3.1281700000000003E-2, 
+                          3.1281720846895129E-2, 
+                          2.0846895126824805E-8]
+  [1.98,                  3.0893899999999998E-2, 
+                          3.0893936041105241E-2, 
+                          3.6041105242606841E-8]
+  [1.99,                  3.0511199999999999E-2, 
+                          3.0511178761929561E-2, 
+                         -2.1238070437717971E-8]
+  [2.,                    3.0133400000000001E-2, 
+                          3.0133379797815663E-2, 
+                          -2.0202184338596885E-8]
+\end{verbatim}
+
 This table expresses the value of 
 $E_4$ with an argument range of 0.01 to 2.00.
+
 \begin{chunk}{*}
+
 --S 5 of 7
+t5:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_
+ for line in _
 [[0.01,0.3283824,En(4,0.01),En(4,0.01)-0.3283824],_
 [0.02,0.3235264,En(4,0.02),En(4,0.02)-0.3235264],_
 [0.03,0.3187619,En(4,0.03),En(4,0.03)-0.3187619],_
@@ -1721,540 +3133,1263 @@ $E_4$ with an argument range of 0.01 to 2.00.
 [1.97,0.0259440,En(4,1.97),En(4,1.97)-0.0259440],_
 [1.98,0.0256331,En(4,1.98),En(4,1.98)-0.0256331],_
 [1.99,0.0253261,En(4,1.99),En(4,1.99)-0.0253261],_
-[2.00,0.0250228,En(4,2.00),En(4,2.00)-0.0250228]]
+[2.00,0.0250228,En(4,2.00),En(4,2.00)-0.0250228]]]
 --R 
 --R
 --R   (5)
---R   [[1.0E-2,0.32838240000000002,0.32838235603577381,- 4.3964226204007417E-8],
---R    [2.0E-2,0.32352639999999999,0.32352643582573859,3.5825738597949908E-8],
---R
---R     [2.9999999999999999E-2, 0.31876189999999999, 0.318761867644201,
---R      - 3.2355798984529116E-8]
---R     ,
---R
---R     [4.0000000000000001E-2, 0.31408550000000002, 0.3140854938275166,
---R      - 6.1724834132803608E-9]
---R     ,
---R
---R     [5.0000000000000003E-2, 0.30949450000000001, 0.30949449400443008,
---R      - 5.9955699294178544E-9]
---R     ,
---R
---R     [5.9999999999999998E-2, 0.30498629999999999, 0.30498629353000445,
---R      - 6.4699955393265896E-9]
---R     ,
---R
---R     [7.0000000000000007E-2, 0.30055850000000001, 0.30055851077336515,
---R      1.0773365144434166E-8]
---R     ,
---R    [8.0000000000000002E-2,0.2962089,0.29620892264764853,2.2647648534324105E-8],
---R
---R     [8.9999999999999997E-2, 0.29193540000000001, 0.29193544025523149,
---R      4.0255231481545195E-8]
---R     ,
---R
---R     [0.10000000000000001, 0.28773609999999999, 0.28773609074837719,
---R      - 9.2516228011874091E-9]
---R     ,
---R    [0.11,0.283609,0.2836090032896208,3.2896207979860037E-9],
---R    [0.12,0.27955239999999998,0.27955239786156211,- 2.1384378712241414E-9],
---R    [0.13,0.27556459999999999,0.27556457613853869,- 2.3861461306839971E-8],
---R
---R     [0.14000000000000001, 0.27164389999999999, 0.27164391389899217,
---R      1.3898992179406378E-8]
---R     ,
---R    [0.14999999999999999,0.2677889,0.26778885461965246,- 4.5380347535317611E-8],
---R    [0.16,0.26399790000000001,0.26399790399625528,3.9962552711436672E-9],
---R
---R     [0.17000000000000001, 0.26026959999999999, 0.26026962520418123,
---R      2.5204181242077794E-8]
---R     ,
---R
---R     [0.17999999999999999, 0.25660260000000001, 0.25660263475941625,
---R      3.4759416234209084E-8]
---R     ,
---R    [0.19,0.25299559999999999,0.25299559887329914,- 1.1267008437343407E-9],
---R
---R     [0.20000000000000001, 0.24944720000000001, 0.24944723021833587,
---R      3.021833586136502E-8]
---R     ,
---R
---R     [0.20999999999999999, 0.24595629999999999, 0.24595628503986891,
---R      - 1.496013107837868E-8]
---R     ,
---R    [0.22,0.2425216,0.24252156056149116,- 3.9438508847577936E-8],
---R
---R     [0.23000000000000001, 0.23914189999999999, 0.23914189264206476,
---R      - 7.3579352333208448E-9]
---R     ,
---R    [0.23999999999999999,0.2358162,0.235816153649895,- 4.6350105004089315E-8],
---R    [0.25,0.23254320000000001,0.232543250525623,5.0525622991015595E-8],
---R    [0.26000000000000001,0.2293221,0.22932212301015453,2.3010154531766247E-8],
---R
---R     [0.27000000000000002, 0.22615170000000001, 0.22615174201774482,
---R      4.2017744811273516E-8]
---R     ,
---R
---R     [0.28000000000000003, 0.22303110000000001, 0.22303110813742405,
---R      8.1374240401554943E-9]
---R     ,
---R    [0.28999999999999998,0.2199593,0.21995925024844767,- 4.9751552322341297E-8],
---R
---R     [0.29999999999999999, 0.21693519999999999, 0.2169352242375045,
---R      2.4237504503421547E-8]
---R     ,
---R    [0.31,0.21395810000000001,0.21395811180711269,1.1807112676454068E-8],
---R
---R     [0.32000000000000001, 0.21102699999999999, 0.21102701936604468,
---R      1.9366044684554495E-8]
---R     ,
---R    [0.33000000000000002,0.2081411,0.20814107699380749,- 2.3006192506613843E-8],
---R
---R     [0.34000000000000002, 0.20529939999999999, 0.20529943747220336,
---R      3.7472203368027479E-8]
---R     ,
---R    [0.34999999999999998,0.2025013,0.20250127537784185,- 2.4622158145692907E-8],
---R    [0.35999999999999999,0.1997458,0.19974578623019815,- 1.3769801854301988E-8],
---R    [0.37,0.19703219999999999,0.19703218569043029,- 1.4309569695836188E-8],
---R    [0.38,0.1943597,0.19435970880670123,8.8067012293802094E-9],
---R    [0.39000000000000001,0.1917276,0.19172760930221217,9.3022121672170499E-9],
---R    [0.40000000000000002,0.1891352,0.18913515890255378,- 4.1097446223936629E-8],
---R
---R     [0.40999999999999998, 0.18658159999999999, 0.18658164669933056,
---R      4.6699330569222042E-8]
---R     ,
---R
---R     [0.41999999999999998, 0.18406639999999999, 0.18406637854731811,
---R      - 2.1452681880917979E-8]
---R     ,
---R
---R     [0.42999999999999999, 0.18158869999999999, 0.18158867649268154,
---R      - 2.3507318452908876E-8]
---R     ,
---R    [0.44,0.1791479,0.17914787823001868,- 2.1769981317643072E-8],
---R
---R     [0.45000000000000001, 0.17674329999999999, 0.17674333658619995,
---R      3.6586199958499321E-8]
---R     ,
---R
---R     [0.46000000000000002, 0.17437440000000001, 0.17437441902916206,
---R      1.9029162051653614E-8]
---R     ,
---R
---R     [0.46999999999999997, 0.17204050000000001, 0.17204050719997591,
---R      7.1999758932683733E-9]
---R     ,
---R    [0.47999999999999998,0.169741,0.16974099646665652,- 3.5333434789119877E-9],
---R
---R     [0.48999999999999999, 0.16747529999999999, 0.16747529549831219,
---R      - 4.5016878003067973E-9]
---R     ,
---R    [0.5,0.1652428,0.16524282585834804,2.5858348046137181E-8],
---R
---R     [0.51000000000000001, 0.16304299999999999, 0.16304302161554463,
---R      2.161554463198101E-8]
---R     ,
---R    [0.52000000000000002,0.1608753,0.16087532897192483,2.8971924831422413E-8],
---R    [0.53000000000000003,0.1587392,0.15873920590641022,5.9064102220229842E-9],
---R    [0.54000000000000004,0.1566341,0.15663412183334352,2.1833343522015269E-8],
---R
---R     [0.55000000000000004, 0.15455959999999999, 0.15455955727502388,
---R      - 4.2724976112573643E-8]
---R     ,
---R
---R     [0.56000000000000005, 0.15251500000000001, 0.15251500354746483,
---R      3.5474648218958293E-9]
---R     ,
---R
---R     [0.56999999999999995, 0.15049999999999999, 0.15049996245864372,
---R      - 3.7541356273651516E-8]
---R     ,
---R    [0.57999999999999996,0.1485139,0.14851394601856155,4.6018561544736158E-8],
---R
---R     [0.58999999999999997, 0.14655650000000001, 0.14655647616048229,
---R      - 2.3839517721002679E-8]
---R     ,
---R
---R     [0.59999999999999998, 0.14462710000000001, 0.1446270844727626,
---R      - 1.5527237412493733E-8]
---R     ,
---R    [0.60999999999999999,0.1427253,0.14272531194072449,1.1940724492509602E-8],
---R    [0.62,0.1408507,0.14085070869805835,8.6980583569040704E-9],
---R    [0.63,0.13900280000000001,0.13900283378727951,3.3787279501984457E-8],
---R
---R     [0.64000000000000001, 0.13718130000000001, 0.13718125492879019,
---R      - 4.5071209819891322E-8]
---R     ,
---R
---R     [0.65000000000000002, 0.13538549999999999, 0.13538554829812915,
---R      4.8298129162738235E-8]
---R     ,
---R
---R     [0.66000000000000003, 0.13361529999999999, 0.13361529831101665,
---R      - 1.688983342074124E-9]
---R     ,
---R
---R     [0.67000000000000004, 0.13187009999999999, 0.13187009741582595,
---R      - 2.5841740414200842E-9]
---R     ,
---R    [0.68000000000000005,0.1301495,0.13014954589313665,4.5893136652042088E-8],
---R
---R     [0.68999999999999995, 0.12845329999999999, 0.12845325166204447,
---R      - 4.8337955527166798E-8]
---R     ,
---R    [0.69999999999999996,0.1267808,0.12678083009292157,3.0092921571300835E-8],
---R
---R     [0.70999999999999996, 0.12513189999999999, 0.1251319038263401,
---R      3.8263401058724611E-9]
---R     ,
---R
---R     [0.71999999999999997, 0.12350609999999999, 0.12350610259788675,
---R      2.5978867529419247E-9]
---R     ,
---R    [0.72999999999999998,0.1219031,0.12190306306861284,- 3.6931387156768913E-8],
---R    [0.73999999999999999,0.1203224,0.12032242866087833,2.8660878337305462E-8],
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---R                               Type: List List OnePointCompletion DoubleFloat
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+--R     5224175567749775  5063645659752079  158238916882449       319513711
+--R    [----------------,-----------------,----------------,- -----------------],
+--R     4503599627370496 72057594037927936 2251799813685248   72057594037927936
+--R     658651445502935  5000292623073933  625036281940651       2367548725
+--R    [---------------,-----------------,----------------,- -----------------],
+--R     562949953421312 72057594037927936 9007199254740992   72057594037927936
+--R     5314247560297185  4937768248727223  2468885424353033     2599978843
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 72057594037927936 36028797018963968 72057594037927936
+--R     2679641778285445  4876072536711949  4876075242102989     42271735
+--R    [----------------,-----------------,-----------------,----------------],
+--R     2251799813685248 72057594037927936 72057594037927936 1125899906842624
+--R     5404319552844595  4815191075509303  4815191745693033     335091865
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 72057594037927936 72057594037927936 36028797018963968
+--R     1362338887279575  4755109453600479  2377554426839855       599920769
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     1125899906842624 72057594037927936 36028797018963968   72057594037927936
+--R     5494391545392005  1173953314866667  2347907620569925     990836591
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 18014398509481984 36028797018963968 36028797018963968
+--R     2769713770832855  4637302493107871  4637299760743813       1366182029
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     2251799813685248 72057594037927936 72057594037927936   36028797018963968
+--R     5584463537939415  572443541435809  2289775719773547     1554030311
+--R    [----------------,----------------,-----------------,-----------------],
+--R     4503599627370496 9007199254740992 36028797018963968 36028797018963968
+--R     5  2261278990180937  4522559475851439     1495489565
+--R    [-,-----------------,-----------------,-----------------],
+--R     4 36028797018963968 72057594037927936 72057594037927936
+--R     709316941310853  1116577455613967  4466313236133501     3413677633
+--R    [---------------,-----------------,-----------------,-----------------],
+--R     562949953421312 18014398509481984 72057594037927936 72057594037927936
+--R     5719571526760529  1102700964442113  8821604504078781        3211458123
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 18014398509481984 144115188075855872   144115188075855872
+--R     ,
+--R     2882303761517117  8712036938042831   8712032434886573        2251578129
+--R    [----------------,------------------,------------------,- -----------------]
+--R     2251799813685248 144115188075855872 144115188075855872   72057594037927936
+--R     ,
+--R     5809643519307939  8603892900910709   1075486246392123       2929773725
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 18014398509481984   144115188075855872
+--R     ,
+--R     1463669878895411  4248580596310865  4248578566169257       253767701
+--R    [----------------,-----------------,-----------------,- ----------------],
+--R     1125899906842624 72057594037927936 72057594037927936   9007199254740992
+--R     5899715511855349  8391812990138279   1048976780692967     1255405457
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 144115188075855872 18014398509481984 144115188075855872
+--R     2972375754064527  8287848293460357   4143920969973385       6353513587
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     2251799813685248 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     5989787504402759  2046305967007885  1023152642699175       681609535
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 36028797018963968 18014398509481984   36028797018963968
+--R     377176468792279  2020984928462957  4041966534100299       3322825615
+--R    [---------------,-----------------,-----------------,- -----------------],
+--R     281474976710656 36028797018963968 72057594037927936   72057594037927936
+--R     6079859496950169  15593657414775  7983959224083153      6627718353
+--R    [----------------,---------------,------------------,------------------],
+--R     4503599627370496 281474976710656 144115188075855872 144115188075855872
+--R     3062447746611937  7885276927089261   7885281395184169      1117023727
+--R    [----------------,------------------,------------------,-----------------],
+--R     2251799813685248 144115188075855872 144115188075855872 36028797018963968
+--R     6169931489497579  3893941941493799  7787881644207461        2238780137
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     1553741871442821  3845872320511097  1922935576462195       1167586707
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     1125899906842624 72057594037927936 36028797018963968   72057594037927936
+--R     6260003482044989  7596844789674243   3798422991061881     1192449519
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 144115188075855872 72057594037927936 144115188075855872
+--R     3152519739159347  7503169917424937   3751587768895059     5620365181
+--R    [----------------,------------------,-----------------,------------------],
+--R     2251799813685248 144115188075855872 72057594037927936 144115188075855872
+--R     6350075474592399  7410720024274275   3705357047930873       5928412529
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     799388933858263  1829862968916459  7319445033212637        6842453199
+--R    [---------------,-----------------,------------------,- ------------------],
+--R     562949953421312 36028797018963968 144115188075855872   144115188075855872
+--R     6440147467139809  7229351060080811   14119828078649      916187477
+--R    [----------------,------------------,---------------,------------------],
+--R     4503599627370496 144115188075855872 281474976710656 144115188075855872
+--R     3242591731706757  223138049297475  7140418796782609      1219263409
+--R    [----------------,----------------,------------------,------------------],
+--R     2251799813685248 4503599627370496 144115188075855872 144115188075855872
+--R     6530219459687219  7052622604943389   881578700962285      7002754891
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 144115188075855872 18014398509481984 144115188075855872
+--R     1643813863990231  6965966142353377   3482984379544249     2616735121
+--R    [----------------,------------------,-----------------,------------------],
+--R     1125899906842624 144115188075855872 72057594037927936 144115188075855872
+--R     6620291452234629  1720104841677887  3440210417089157     733733383
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 36028797018963968 72057594037927936 72057594037927936
+--R     3332663724254167  6795967866499097   3397985322721805     2778944513
+--R    [----------------,------------------,-----------------,------------------],
+--R     2251799813685248 144115188075855872 72057594037927936 144115188075855872
+--R     6710363444782039  3356298615098607  6712603230785893      6000588679
+--R    [----------------,-----------------,------------------,------------------],
+--R     4503599627370496 72057594037927936 144115188075855872 144115188075855872
+--R     3  6630307457805901   414393990611325       3608024701
+--R    [-,------------------,----------------,- ------------------],
+--R     2 144115188075855872 9007199254740992   144115188075855872
+--R     850054429666181  6549055314768733   6549057980001453      166577045
+--R    [---------------,------------------,------------------,----------------],
+--R     562949953421312 144115188075855872 144115188075855872 9007199254740992
+--R     6845471433603153  6468855212604519   3234425656703177       3899198165
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     3445253714938429  1597415979189209  3194834876402223     2918023805
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     2251799813685248 36028797018963968 72057594037927936 72057594037927936
+--R     6935543426150563  1577873959686123  394468713023865     892409337
+--R    [----------------,-----------------,----------------,-----------------],
+--R     4503599627370496 36028797018963968 9007199254740992 36028797018963968
+--R     1745144855606067  6234322155529871   779290824287079      4438766761
+--R    [----------------,------------------,-----------------,------------------],
+--R     1125899906842624 144115188075855872 18014398509481984 144115188075855872
+--R     7025615418697973  3079071433556487  6158137825338041        5041774933
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     3535325707485839  6082914738937377   3041459906824245     5074711113
+--R    [----------------,------------------,-----------------,------------------],
+--R     2251799813685248 144115188075855872 72057594037927936 144115188075855872
+--R     7115687411245383  751083324255087   6008659465507389        7128533307
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 18014398509481984 144115188075855872   144115188075855872
+--R     ,
+--R     447545212969943  5935340786347701   5935343878175071      1545913685
+--R    [---------------,------------------,------------------,-----------------],
+--R     281474976710656 144115188075855872 144115188075855872 72057594037927936
+--R     7205759403792793  2931483069448003  5862960336795879        5802100127
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     3625397700033249  5791499417129189   5791496311358515        1552885337
+--R    [----------------,------------------,------------------,- -----------------]
+--R     2251799813685248 144115188075855872 144115188075855872   72057594037927936
+--R     ,
+--R     7295831396340203  2860470310523625  5720939453713157        1167334093
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     1835216848153477  5651275339131381   1412819398660845     2255511999
+--R    [----------------,------------------,-----------------,------------------],
+--R     1125899906842624 144115188075855872 36028797018963968 144115188075855872
+--R     7385903388887613  5582503571381583   5582498740992291        1207597323
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 144115188075855872 144115188075855872   36028797018963968
+--R     ,
+--R     3715469692580659  344662280922515  5514591072841229        5421919011
+--R    [----------------,----------------,------------------,- ------------------],
+--R     2251799813685248 9007199254740992 144115188075855872   144115188075855872
+--R     7475975381435023  85117807777321   2723771470370027     1621495755
+--R    [----------------,----------------,-----------------,-----------------],
+--R     4503599627370496 2251799813685248 72057594037927936 72057594037927936
+--R     940126422213591  5381347591865303   5381342862988177        2364438563
+--R    [---------------,------------------,------------------,- -----------------],
+--R     562949953421312 144115188075855872 144115188075855872   72057594037927936
+--R     7566047373982433  5315976942554095   5315979522964855      322551345
+--R    [----------------,------------------,------------------,-----------------],
+--R     4503599627370496 144115188075855872 144115188075855872 18014398509481984
+--R     3805541685128069  5251442161333727   2625720883253947        394825833
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     2251799813685248 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     7656119366529843  5187714425166583   2593859299669857     4174173131
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 144115188075855872 72057594037927936 144115188075855872
+--R     1925288840700887  5124793734052665   5124799184539853      1362621797
+--R    [----------------,------------------,------------------,-----------------],
+--R     1125899906842624 144115188075855872 144115188075855872 36028797018963968
+--R     7746191359077253  5062665676473163   5062672840062709      3581794773
+--R    [----------------,------------------,------------------,-----------------],
+--R     4503599627370496 144115188075855872 144115188075855872 72057594037927936
+--R     3895613677675479  5001330252428079   5001329036299693        608064193
+--R    [----------------,------------------,------------------,- -----------------]
+--R     2251799813685248 144115188075855872 144115188075855872   72057594037927936
+--R     ,
+--R     7836263351624663  4940758638879797   2470378696842631       1245194535
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     7  4880950835828317   4880947680344909        197217713
+--R    [-,------------------,------------------,- ----------------],
+--R     4 144115188075855872 144115188075855872   9007199254740992
+--R     990791918021509  4821892431754831   1205472452446395       2621969251
+--R    [---------------,------------------,-----------------,- ------------------],
+--R     562949953421312 144115188075855872 36028797018963968   144115188075855872
+--R     7971371340445777  1190892253785133  1190893459656547     602935707
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     4503599627370496 36028797018963968 36028797018963968 18014398509481984
+--R     4008203668359741  4705994997504227   2352994982184459       5033135309
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     2251799813685248 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R     8061443332993187  4649127144289495   4649128523209125      689459815
+--R    [----------------,------------------,------------------,-----------------],
+--R     4503599627370496 144115188075855872 144115188075855872 72057594037927936
+--R     2026619832316723  4592979867015141   4592979987883971       60434415
+--R    [----------------,------------------,------------------,-----------------],
+--R     1125899906842624 144115188075855872 144115188075855872 72057594037927936
+--R     8151515325540597  567192344270295   1134383741389609       947150981
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 18014398509481984 36028797018963968   36028797018963968
+--R     4098275660907151  2241394697106171  2241392097874247       649807981
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     2251799813685248 72057594037927936 72057594037927936   18014398509481984
+--R     8241587318088007  4428717375646281   8857437096560305      2345267743
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 144115188075855872 288230376151711744 288230376151711744
+--R     517913957147607  8750645396928353   2187664510641929     12645639363
+--R    [---------------,------------------,-----------------,------------------],
+--R     281474976710656 288230376151711744 72057594037927936 288230376151711744
+--R     8331659310635417  8645210725332057   4322606739223933      2753115809
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 144115188075855872 288230376151711744
+--R     4188347653454561  8541073090428443   8541085901922581      6405747069
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 288230376151711744 144115188075855872
+--R     8421731303182827  1054782664406891  4219129027850451        1629777113
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 36028797018963968 144115188075855872   144115188075855872
+--R     ,
+--R     2116691824864133  521044859608555   1042089115467103       603750007
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     1125899906842624 18014398509481984 36028797018963968   36028797018963968
+--R
+--R      8511803295730237   8236442405873699    4118216863775571
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  144115188075855872
+--R            8678322557
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     4278419646001971  8137406448627971   2034350980654347       2526010583
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     2251799813685248 288230376151711744 72057594037927936   288230376151711744
+--R     ,
+--R     8601875288277647  8039609881999695   251237724837743       2687191919
+--R    [----------------,------------------,----------------,- ------------------],
+--R     4503599627370496 288230376151711744 9007199254740992   288230376151711744
+--R     1080863910568919  7943023882951257   1985756864225093     3573949115
+--R    [----------------,------------------,-----------------,------------------],
+--R      562949953421312 288230376151711744 72057594037927936 288230376151711744
+--R     8691947280825057  7847648451482655   7847648845144869       196831107
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 288230376151711744 144115188075855872
+--R     4368491638549381  1938363691139069  1938363928971731     118916331
+--R    [----------------,-----------------,-----------------,-----------------],
+--R     2251799813685248 72057594037927936 72057594037927936 36028797018963968
+--R     8782019273372467  3830221411086059   3830216321124455        1272490401
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 144115188075855872 144115188075855872   36028797018963968
+--R     ,
+--R     2206763817411543  7568554978254953   1892141102716687     9432611795
+--R    [----------------,------------------,-----------------,------------------],
+--R     1125899906842624 288230376151711744 72057594037927936 288230376151711744
+--R
+--R      8872091265919877   7477848878880009    3738918009340529
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  144115188075855872
+--R            12860198951
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R
+--R      4458563631096791   3694119027467221    7388232669782469
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  144115188075855872  288230376151711744
+--R            5385151973
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     8962163258467287  3649875664727933   3649869886154839        2889286547
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 144115188075855872 144115188075855872   72057594037927936
+--R     ,
+--R        1803082764092263  7212342935397909      11879028857
+--R    [2,-----------------,------------------,------------------]]
+--R       72057594037927936 288230376151711744 288230376151711744
+--R                                             Type: List List Fraction Integer
 --E 5
 
 \end{chunk}
+
+The actual table values from above are:
+\begin{verbatim}
+ [1.0E-2,                 0.32838240000000002, 
+                          0.32838235603577381, 
+                         -4.3964226204007417E-8]
+ [2.0E-2,                 0.32352639999999999, 
+                          0.32352643582573859, 
+                          3.5825738597949908E-8]
+ [2.9999999999999999E-2,  0.31876189999999999, 
+                          0.318761867644201, 
+                         -3.2355798984529116E-8]
+ [4.0000000000000001E-2,  0.31408550000000002, 
+                          0.3140854938275166, 
+                         -6.1724834132803608E-9]
+ [5.0000000000000003E-2,  0.30949450000000001, 
+                          0.30949449400443008, 
+                         -5.9955699294178544E-9]
+ [5.9999999999999998E-2,  0.30498629999999999, 
+                          0.30498629353000445, 
+                         -6.4699955393265896E-9]
+ [7.0000000000000007E-2,  0.30055850000000001, 
+                          0.30055851077336515, 
+                          1.0773365144434166E-8]
+ [8.0000000000000002E-2,  0.2962089, 
+                          0.29620892264764853, 
+                          2.2647648534324105E-8]
+ [8.9999999999999997E-2,  0.29193540000000001, 
+                          0.29193544025523149, 
+                          4.0255231481545195E-8]
+ [0.10000000000000001,    0.28773609999999999, 
+                          0.28773609074837719, 
+                         -9.2516228011874091E-9]
+ [0.11,                   0.283609, 
+                          0.2836090032896208, 
+                          3.2896207979860037E-9]
+ [0.12,                   0.27955239999999998, 
+                          0.27955239786156211, 
+                         -2.1384378712241414E-9]
+ [0.13,                   0.27556459999999999, 
+                          0.27556457613853869, 
+                         -2.3861461306839971E-8]
+ [0.14000000000000001,    0.27164389999999999, 
+                          0.27164391389899217, 
+                          1.3898992179406378E-8]
+ [0.14999999999999999,    0.2677889, 
+                          0.26778885461965246, 
+                         -4.5380347535317611E-8]
+ [0.16,                   0.26399790000000001, 
+                          0.26399790399625528, 
+                          3.9962552711436672E-9]
+ [0.17000000000000001,    0.26026959999999999, 
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+                          1.7905196485201724E-8]
+ [1.6899999999999999,     3.6439199999999998E-2, 
+                          3.6439197260345613E-2, 
+                         -2.7396543852975519E-9]
+ [1.7,                    3.5997000000000001E-2, 
+                          3.5997028964144667E-2, 
+                          2.8964144666021596E-8]
+ [1.71,                   3.5560399999999999E-2, 
+                          3.5560437820352508E-2, 
+                          3.7820352509487787E-8]
+ [1.72,                   3.5129300000000002E-2, 
+                          3.5129349707387826E-2, 
+                          4.9707387823894056E-8]
+ [1.73,                   3.4703699999999997E-2, 
+                          3.4703691561414153E-2, 
+                         -8.4385858439839367E-9]
+ [1.74,                   3.4283399999999999E-2, 
+                          3.4283391359727231E-2, 
+                         -8.6402727680900959E-9]
+ [1.75,                   3.38684E-2, 
+                          3.3868378104435617E-2, 
+                         -2.1895564382423682E-8]
+ [1.76,                   3.3458599999999998E-2, 
+                          3.3458581806433824E-2, 
+                         -1.8193566174440345E-8]
+ [1.77,                   3.3053899999999997E-2, 
+                          3.3053933469655281E-2, 
+                          3.3469655283391297E-8]
+ [1.78,                   3.26544E-2, 
+                          3.2654365075608149E-2, 
+                         -3.4924391850710279E-8]
+ [1.79,                   3.2259799999999998E-2, 
+                          3.2259809568177103E-2, 
+                          9.5681771047906317E-9]
+ [1.8,                    3.1870200000000001E-2, 
+                          3.187020083869585E-2, 
+                          8.3869584888152104E-10]
+ [1.8100000000000001,     3.14855E-2, 
+                          3.1485473711279174E-2, 
+                         -2.628872082521827E-8]
+ [1.8200000000000001,     3.1105600000000001E-2, 
+                          3.1105563928410965E-2, 
+                         -3.6071589035180374E-8]
+ [1.8300000000000001,     3.0730400000000001E-2, 
+                          3.073040813678209E-2, 
+                          8.1367820883859743E-9]
+ [1.8400000000000001,     3.0359899999999999E-2, 
+                          3.0359943873375265E-2, 
+                          4.387337526612356E-8]
+ [1.8500000000000001,     2.9994099999999999E-2, 
+                          2.9994109551789112E-2, 
+                          9.5517891131324806E-9]
+ [1.8600000000000001,     2.9632800000000001E-2, 
+                          2.9632844448799496E-2, 
+                          4.4448799495222513E-8]
+ [1.8700000000000001,     2.9276099999999999E-2, 
+                          2.9276088691150233E-2, 
+                         -1.1308849766356044E-8]
+ [1.8799999999999999,     2.89238E-2, 
+                          2.8923783242571027E-2, 
+                         -1.6757428972224986E-8]
+ [1.8899999999999999,     2.8575900000000001E-2, 
+                          2.8575869891020747E-2, 
+                         -3.0108979254261925E-8]
+ [1.8999999999999999,     2.8232299999999998E-2, 
+                          2.8232291236140537E-2, 
+                         -8.7638594610528475E-9]
+ [1.9099999999999999,     2.7893000000000001E-2, 
+                          2.7892990676930449E-2, 
+                         -9.3230695524804119E-9]
+ [1.9199999999999999,     2.75579E-2, 
+                          2.7557912399626863E-2, 
+                          1.2399626863474067E-8]
+ [1.9299999999999999,     2.7227000000000001E-2, 
+                          2.7227001365790433E-2, 
+                          1.3657904321395797E-9]
+ [1.9399999999999999,     2.6900199999999999E-2, 
+                          2.6900203300591483E-2, 
+                          3.300591484151072E-9]
+ [1.95,                   2.65775E-2, 
+                          2.6577464681296726E-2, 
+                         -3.5318703274500596E-8]
+ [1.96,                   2.6258699999999999E-2, 
+                          2.6258732725946241E-2, 
+                          3.2725946241124459E-8]
+ [1.97,                   2.5943999999999998E-2, 
+                          2.5943955382222512E-2, 
+                         -4.4617777486544163E-8]
+ [1.98,                   2.5633099999999999E-2, 
+                          2.5633081316501483E-2, 
+                         -1.8683498515664754E-8]
+ [1.99,                   2.5326100000000001E-2, 
+                          2.5326059903094673E-2, 
+                         -4.0096905327274834E-8]
+ [2.,                     2.5022800000000001E-2, 
+                          2.5022841213660458E-2, 
+                          4.1213660456618229E-8]
+\end{verbatim}
+
 This table expresses the value of 
 $E_10$ with an argument range of 0.01 to 2.00.
+
 \begin{chunk}{*}
+
 --S 6 of 7
+t6:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_
+ for line in _
 [[0.01,0.1098682,En(10,0.01),En(10,0.01)-0.1098682],_
 [0.02,0.1086395,En(10,0.02),En(10,0.02)-0.1086395],_
 [0.03,0.1074246,En(10,0.03),En(10,0.03)-0.1074246],_
@@ -2454,567 +4589,1366 @@ $E_10$ with an argument range of 0.01 to 2.00.
 [1.97,0.0124964,En(10,1.97),En(10,1.97)-0.0124964],_
 [1.98,0.0123601,En(10,1.98),En(10,1.98)-0.0123601],_
 [1.99,0.0122254,En(10,1.99),En(10,1.99)-0.0122254],_
-[2.00,0.0120921,En(10,2.00),En(10,2.00)-0.0120921]]
+[2.00,0.0120921,En(10,2.00),En(10,2.00)-0.0120921]]]
 --R 
 --R
 --R   (6)
---R   [[1.0E-2,0.1098682,0.10986822627360165,2.6273601655413259E-8],
---R    [2.0E-2,0.1086395,0.10863946164415648,- 3.8355843515192056E-8],
---R    [2.9999999999999999E-2,0.1074246,0.10742465352510716,5.3525107165941499E-8],
---R    [4.0000000000000001E-2,0.1062236,0.10622364016949924,4.016949924079416E-8],
---R
---R     [5.0000000000000003E-2, 0.1050363, 0.10503626175690921,
---R      - 3.8243090791367784E-8]
---R     ,
---R
---R     [5.9999999999999998E-2, 0.10386239999999999, 0.10386236036958028,
---R      - 3.9630419709779652E-8]
---R     ,
---R    [7.0000000000000007E-2,0.1027018,0.1027017799688722,- 2.0031127798136872E-8]
---R     ,
---R    [8.0000000000000002E-2,0.1015544,0.1015543663720207,- 3.3627979303951783E-8]
---R     ,
---R    [8.9999999999999997E-2,0.10042,0.1004199672292018,- 3.2770798200076889E-8],
---R
---R     [0.10000000000000001, 9.9298399999999995E-2, 9.9298432000896802E-2,
---R      3.2000896807438117E-8]
---R     ,
---R    [0.11,9.8189600000000002E-2,9.8189611935553478E-2,1.1935553476116745E-8],
---R    [0.12,9.7093399999999996E-2,9.7093360047539198E-2,- 3.9952460798020617E-8],
---R    [0.13,9.6009499999999998E-2,9.6009531095381809E-2,3.109538181111926E-8],
---R
---R     [0.14000000000000001, 9.4937999999999995E-2, 9.4937981560294218E-2,
---R      - 1.8439705776196469E-8]
---R     ,
---R
---R     [0.14999999999999999, 9.3878600000000006E-2, 9.3878569624978384E-2,
---R      - 3.037502162295258E-8]
---R     ,
---R    [0.16,9.2831200000000003E-2,9.2831155152705111E-2,- 4.4847294891625644E-8],
---R
---R     [0.17000000000000001, 9.1795600000000005E-2, 9.1795599666665256E-2,
---R      - 3.3333474869223778E-10]
---R     ,
---R
---R     [0.17999999999999999, 9.07718E-2, 9.0771766329588957E-2,
---R      - 3.3670411042630022E-8]
---R     ,
---R    [0.19,8.9759500000000006E-2,8.9759519923628739E-2,1.9923628732931853E-8],
---R
---R     [0.20000000000000001, 8.8758699999999996E-2, 8.8758726830502982E-2,
---R      2.6830502986019411E-8]
---R     ,
---R
---R     [0.20999999999999999, 8.7769299999999995E-2, 8.7769255011895919E-2,
---R      - 4.4988104075383006E-8]
---R     ,
---R    [0.22,8.6790999999999993E-2,8.6790973990110751E-2,- 2.6009889242395445E-8],
---R
---R     [0.23000000000000001, 8.5823800000000006E-2, 8.5823754828972157E-2,
---R      - 4.5171027848733836E-8]
---R     ,
---R
---R     [0.23999999999999999, 8.4867499999999998E-2, 8.4867470114974794E-2,
---R      - 2.9885025204512417E-8]
---R     ,
---R    [0.25,8.3921999999999997E-2,8.3921993938674291E-2,- 6.0613257052422043E-9],
---R
---R     [0.26000000000000001, 8.2987199999999997E-2, 8.2987201876317501E-2,
---R      1.8763175041458524E-9]
---R     ,
---R
---R     [0.27000000000000002, 8.2062999999999997E-2, 8.2062970971708463E-2,
---R      - 2.9028291534394235E-8]
---R     ,
---R
---R     [0.28000000000000003, 8.1149200000000005E-2, 8.1149179718306999E-2,
---R      - 2.0281693005608226E-8]
---R     ,
---R
---R     [0.28999999999999998, 8.0245700000000003E-2, 8.0245708041556577E-2,
---R      8.041556573412656E-9]
---R     ,
---R
---R     [0.29999999999999999, 7.9352400000000003E-2, 7.9352437281438454E-2,
---R      3.7281438450276205E-8]
---R     ,
---R    [0.31,7.8469300000000006E-2,7.8469250175248736E-2,- 4.9824751269245127E-8],
---R
---R     [0.32000000000000001, 7.7595999999999998E-2, 7.7596030840595492E-2,
---R      3.0840595494074918E-8]
---R     ,
---R
---R     [0.33000000000000002, 7.6732700000000001E-2, 7.6732664758612748E-2,
---R      - 3.5241387252860079E-8]
---R     ,
---R
---R     [0.34000000000000002, 7.5879000000000002E-2, 7.5879038757388551E-2,
---R      3.8757388548527061E-8]
---R     ,
---R
---R     [0.34999999999999998, 7.5035000000000004E-2, 7.5035040995603944E-2,
---R      4.0995603939331104E-8]
---R     ,
---R
---R     [0.35999999999999999, 7.4200600000000005E-2, 7.4200560946380167E-2,
---R      - 3.9053619838025355E-8]
---R     ,
---R    [0.37,7.3375499999999996E-2,7.3375489381331219E-2,- 1.0618668777606644E-8],
---R    [0.38,7.2559700000000005E-2,7.2559718354818795E-2,1.8354818789867444E-8],
---R    [0.39000000000000001,7.17531E-2,7.1753141188407144E-2,4.1188407143288863E-8]
---R     ,
---R
---R     [0.40000000000000002, 7.0955699999999997E-2, 7.0955652455514773E-2,
---R      - 4.7544485223816046E-8]
---R     ,
---R
---R     [0.40999999999999998, 7.0167099999999996E-2, 7.0167147966260709E-2,
---R      4.7966260713350195E-8]
---R     ,
---R
---R     [0.41999999999999998, 6.9387500000000005E-2, 6.93875247525024E-2,
---R      2.4752502394975728E-8]
---R     ,
---R
---R     [0.42999999999999999, 6.8616700000000003E-2, 6.8616681053062775E-2,
---R      - 1.8946937227481975E-8]
---R     ,
---R    [0.44,6.7854499999999998E-2,6.7854516299143935E-2,1.6299143937303917E-8],
---R
---R     [0.45000000000000001, 6.7100900000000005E-2, 6.7100931099924779E-2,
---R      3.1099924774347087E-8]
---R     ,
---R
---R     [0.46000000000000002, 6.6355800000000006E-2, 6.6355827228340464E-2,
---R      2.7228340457319256E-8]
---R     ,
---R    [0.46999999999999997,6.56191E-2,6.5619107607040858E-2,7.6070408583372995E-9]
---R     ,
---R
---R     [0.47999999999999998, 6.4890699999999996E-2, 6.4890676294525704E-2,
---R      - 2.3705474291868533E-8]
---R     ,
---R
---R     [0.48999999999999999, 6.4170400000000002E-2, 6.4170438471454316E-2,
---R      3.8471454313904196E-8]
---R     ,
---R    [0.5,6.3458299999999995E-2,6.3458300427127218E-2,4.2712722247983947E-10],
---R
---R     [0.51000000000000001, 6.2754199999999996E-2, 6.2754169546137606E-2,
---R      - 3.0453862390200648E-8]
---R     ,
---R
---R     [0.52000000000000002, 6.2058000000000002E-2, 6.2057954295190239E-2,
---R      - 4.5704809763236209E-8]
---R     ,
---R
---R     [0.53000000000000003, 6.1369600000000003E-2, 6.136956421008552E-2,
---R      - 3.5789914483441709E-8]
---R     ,
---R
---R     [0.54000000000000004, 6.0688899999999997E-2, 6.06889098828668E-2,
---R      9.8828668027017841E-9]
---R     ,
---R
---R     [0.55000000000000004, 6.0015899999999997E-2, 6.0015902949128445E-2,
---R      2.9491284483929014E-9]
---R     ,
---R
---R     [0.56000000000000005, 5.93505E-2, 5.9350456075482616E-2,
---R      - 4.3924517384441586E-8]
---R     ,
---R
---R     [0.56999999999999995, 5.8692500000000002E-2, 5.8692482947182836E-2,
---R      - 1.7052817165297274E-8]
---R     ,
---R
---R     [0.57999999999999996, 5.80419E-2, 5.8041898255901947E-2,
---R      - 1.7440980534799699E-9]
---R     ,
---R
---R     [0.58999999999999997, 5.7398600000000001E-2, 5.7398617687662766E-2,
---R      1.7687662764998002E-8]
---R     ,
---R
---R     [0.59999999999999998, 5.6762600000000003E-2, 5.6762557910919068E-2,
---R      - 4.2089080935781009E-8]
---R     ,
---R
---R     [0.60999999999999999, 5.6133599999999999E-2, 5.6133636564785275E-2,
---R      3.6564785275972067E-8]
---R     ,
---R    [0.62,5.55118E-2,5.5511772247412536E-2,- 2.7752587464235923E-8],
---R    [0.63,5.4896899999999998E-2,5.4896884504509566E-2,- 1.5495490432448911E-8],
---R
---R     [0.64000000000000001, 5.4288900000000001E-2, 5.4288893818006168E-2,
---R      - 6.1819938335094804E-9]
---R     ,
---R
---R     [0.65000000000000002, 5.3687699999999998E-2, 5.3687721594857608E-2,
---R      2.1594857610440776E-8]
---R     ,
---R
---R     [0.66000000000000003, 5.3093300000000003E-2, 5.3093290155987988E-2,
---R      - 9.8440120152587518E-9]
---R     ,
---R
---R     [0.67000000000000004, 5.2505499999999997E-2, 5.2505522725370901E-2,
---R      2.2725370904530529E-8]
---R     ,
---R    [0.68000000000000005,5.19243E-2,5.1924343419245275E-2,4.341924527556662E-8],
---R
---R     [0.68999999999999995, 5.1349699999999998E-2, 5.1349677235465116E-2,
---R      - 2.2764534882147025E-8]
---R     ,
---R
---R     [0.69999999999999996, 5.07815E-2, 5.0781450042980847E-2,
---R      - 4.9957019153390458E-8]
---R     ,
---R
---R     [0.70999999999999996, 5.0219600000000003E-2, 5.0219588571451021E-2,
---R      - 1.1428548982173048E-8]
---R     ,
---R    [0.71999999999999997,4.9664E-2,4.9664020400982369E-2,2.0400982368717901E-8],
---R
---R     [0.72999999999999998, 4.9114699999999997E-2, 4.9114673951996674E-2,
---R      - 2.6048003323730917E-8]
---R     ,
---R
---R     [0.73999999999999999, 4.8571499999999997E-2, 4.85714784752228E-2,
---R      - 2.1524777196746392E-8]
---R     ,
---R    [0.75,4.8034399999999998E-2,4.8034364041812182E-2,- 3.595818781620963E-8],
---R
---R     [0.76000000000000001, 4.7503299999999998E-2, 4.7503261533576278E-2,
---R      - 3.8466423719907272E-8]
---R     ,
---R
---R     [0.77000000000000002, 4.6978100000000002E-2, 4.6978102633344329E-2,
---R      2.6333443273185431E-9]
---R     ,
---R
---R     [0.78000000000000003, 4.6458800000000001E-2, 4.6458819815439867E-2,
---R      1.9815439865344953E-8]
---R     ,
---R
---R     [0.79000000000000004, 4.5945300000000001E-2, 4.5945346336274485E-2,
---R      4.6336274484026774E-8]
---R     ,
---R
---R     [0.80000000000000004, 4.5437600000000002E-2, 4.5437616225057327E-2,
---R      1.6225057325458536E-8]
---R     ,
---R
---R     [0.81000000000000005, 4.4935599999999999E-2, 4.4935564274618756E-2,
---R      - 3.5725381243578713E-8]
---R     ,
---R
---R     [0.81999999999999995, 4.4439100000000002E-2, 4.4439126032346843E-2,
---R      2.6032346840676457E-8]
---R     ,
---R    [0.82999999999999996,4.39482E-2,4.3948237791235037E-2,3.7791235037165638E-8]
---R     ,
---R
---R     [0.83999999999999997, 4.3462800000000003E-2, 4.3462836581039874E-2,
---R      3.6581039870864362E-8]
---R     ,
---R
---R     [0.84999999999999998, 4.2982899999999997E-2, 4.2982860159546922E-2,
---R      - 3.9840453075479232E-8]
---R     ,
---R
---R     [0.85999999999999999, 4.2508200000000003E-2, 4.2508247003943962E-2,
---R      4.7003943959289529E-8]
---R     ,
---R    [0.87,4.2038899999999997E-2,4.2038936302299747E-2,3.6302299749602085E-8],
---R    [0.88,4.1574899999999998E-2,4.1574867945147087E-2,- 3.2054852910912146E-8],
---R    [0.89000000000000001,4.1116E-2,4.111598251716897E-2,- 1.7482831030091184E-8]
---R     ,
---R
---R     [0.90000000000000002, 4.0662200000000003E-2, 4.0662221288986326E-2,
---R      2.1288986323808601E-8]
---R     ,
---R
---R     [0.91000000000000003, 4.0213499999999999E-2, 4.0213526209046141E-2,
---R      2.6209046141700831E-8]
---R     ,
---R
---R     [0.92000000000000004, 3.9769800000000001E-2, 3.9769839895608665E-2,
---R      3.9895608663909066E-8]
---R     ,
---R
---R     [0.93000000000000005, 3.9331100000000001E-2, 3.9331105628832443E-2,
---R      5.628832441817444E-9]
---R     ,
---R
---R     [0.93999999999999995, 3.8897300000000003E-2, 3.8897267342955913E-2,
---R      - 3.2657044089778875E-8]
---R     ,
---R
---R     [0.94999999999999996, 3.8468299999999997E-2, 3.8468269618574302E-2,
---R      - 3.038142569466995E-8]
---R     ,
---R
---R     [0.95999999999999996, 3.8044099999999997E-2, 3.8044057675010727E-2,
---R      - 4.2324989270314806E-8]
---R     ,
---R
---R     [0.96999999999999997, 3.7624600000000001E-2, 3.7624577362780139E-2,
---R      - 2.2637219862509106E-8]
---R     ,
---R
---R     [0.97999999999999998, 3.7209800000000001E-2, 3.7209775156145049E-2,
---R      - 2.4843854952438793E-8]
---R     ,
---R
---R     [0.98999999999999999, 3.6799600000000002E-2, 3.6799598145761836E-2,
---R      - 1.8542381657882245E-9]
---R     ,
---R    [1.,3.6394000000000003E-2,3.6393994031416403E-2,- 5.9685835995804126E-9],
---R    [1.01,3.5992900000000001E-2,3.5992911114848265E-2,1.1114848263993338E-8],
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---R                               Type: List List OnePointCompletion DoubleFloat
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+--R     5899715511855349  7444731208660177   7444738930110585      965181301
+--R    [----------------,------------------,------------------,-----------------],
+--R     4503599627370496 288230376151711744 288230376151711744 36028797018963968
+--R     2972375754064527  115046704280993  3681499830632735      5293640959
+--R    [----------------,----------------,------------------,------------------],
+--R     2251799813685248 4503599627370496 144115188075855872 144115188075855872
+--R     5989787504402759  1820542319127653  7282167157178701        2119331911
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 72057594037927936 288230376151711744   288230376151711744
+--R     ,
+--R     377176468792279  3601121496601871   7202231231117033        11762086709
+--R    [---------------,------------------,------------------,- ------------------]
+--R     281474976710656 144115188075855872 288230376151711744   288230376151711744
+--R     ,
+--R     6079859496950169  445198837564083   3561590906298175       205785511
+--R    [----------------,-----------------,------------------,------------------],
+--R     4503599627370496 18014398509481984 144115188075855872 144115188075855872
+--R
+--R      3062447746611937   7045013323012983    7045008946028333
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  288230376151711744  288230376151711744
+--R            2188492325
+--R      - ------------------]
+--R        144115188075855872
+--R     ,
+--R
+--R      6169931489497579   3483854968064547    6967702789383305
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  144115188075855872  288230376151711744
+--R            7146745789
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     1553741871442821  6891242417336045   6891253612869047      5597766501
+--R    [----------------,------------------,------------------,------------------],
+--R     1125899906842624 288230376151711744 288230376151711744 144115188075855872
+--R     6260003482044989  6815639589671451   6815651797625381      6103976965
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 288230376151711744 144115188075855872
+--R     3152519739159347  421306340820957   6740887834434321        13618700991
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     2251799813685248 18014398509481984 288230376151711744   288230376151711744
+--R     ,
+--R     6350075474592399  6666941538614783   6666952322445633      5391915425
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 288230376151711744 144115188075855872
+--R     799388933858263  6593846315222709   6593835967917555        5173652577
+--R    [---------------,------------------,------------------,- ------------------]
+--R     562949953421312 288230376151711744 288230376151711744   144115188075855872
+--R     ,
+--R     6440147467139809  6521529313846245   6521529582972561       67281579
+--R    [----------------,------------------,------------------,-----------------],
+--R     4503599627370496 288230376151711744 288230376151711744 72057594037927936
+--R     3242591731706757  6450019357523005   3225012042183957      4726844909
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 144115188075855872 288230376151711744
+--R     6530219459687219  3189658223126495   3189655246140439        372123257
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 144115188075855872 144115188075855872   18014398509481984
+--R     ,
+--R
+--R      1643813863990231   6309391756998585    3154689964554193
+--R     [----------------, ------------------, ------------------,
+--R      1125899906842624  288230376151711744  144115188075855872
+--R            11827890199
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     6620291452234629  3120108233361087   6240223618280985      7151558811
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 144115188075855872 288230376151711744 288230376151711744
+--R     3332663724254167  6171819398461373   6171832883090889      3371157379
+--R    [----------------,------------------,------------------,-----------------],
+--R     2251799813685248 288230376151711744 288230376151711744 72057594037927936
+--R     6710363444782039  6104200552216181   6104199145533969        351670553
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 288230376151711744 288230376151711744   72057594037927936
+--R     ,
+--R     3  6037302281911369   6037313925165493      2910813531
+--R    [-,------------------,------------------,-----------------],
+--R     2 288230376151711744 288230376151711744 72057594037927936
+--R     850054429666181  2985591116811083   2985584418984737        3348913173
+--R    [---------------,------------------,------------------,- -----------------],
+--R     562949953421312 144115188075855872 144115188075855872   72057594037927936
+--R     6845471433603153  369109621139733   2952877797620713       828502849
+--R    [----------------,-----------------,------------------,------------------],
+--R     4503599627370496 18014398509481984 144115188075855872 144115188075855872
+--R     3445253714938429  1460268760456821  365066625155275        2259835721
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     2251799813685248 72057594037927936 18014398509481984   72057594037927936
+--R     6935543426150563  5777087898321603   5777091958318105      2029998251
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 288230376151711744 144115188075855872
+--R     1745144855606067  5713821330756303   5713825453400969      2061322333
+--R    [----------------,------------------,------------------,------------------],
+--R     1125899906842624 288230376151711744 288230376151711744 144115188075855872
+--R     7025615418697973  2825623258046883   1412814642341247     6026635611
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 144115188075855872 72057594037927936 144115188075855872
+--R
+--R      3535325707485839   5589392277371609    5589383477763187
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  288230376151711744  288230376151711744
+--R            4399804211
+--R      - ------------------]
+--R        144115188075855872
+--R     ,
+--R     7115687411245383  691025121064325   691024054878695        533092815
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 36028797018963968 36028797018963968   18014398509481984
+--R     447545212969943  5467672589522741   683459725181415      5211928579
+--R    [---------------,------------------,-----------------,------------------],
+--R     281474976710656 288230376151711744 36028797018963968 288230376151711744
+--R
+--R      7205759403792793   2703917981716823    5407832000153321
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  144115188075855872  288230376151711744
+--R            3963280325
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     3625397700033249  1337158361043021  2674323778047245      7055961203
+--R    [----------------,-----------------,------------------,------------------],
+--R     2251799813685248 72057594037927936 144115188075855872 144115188075855872
+--R     7295831396340203  5290122677813287   330632317192259        5602737143
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 288230376151711744 18014398509481984   288230376151711744
+--R     ,
+--R
+--R      1835216848153477   5232246018282023    5232233246762009
+--R     [----------------, ------------------, ------------------,
+--R      1125899906842624  288230376151711744  288230376151711744
+--R            6385760007
+--R      - ------------------]
+--R        144115188075855872
+--R     ,
+--R     7385903388887613  2587487321270339   5174988843709857      14201169179
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 144115188075855872 288230376151711744 288230376151711744
+--R     3715469692580659  5118366196664481   5118376720414551      5261875035
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 288230376151711744 144115188075855872
+--R     7475975381435023  5062391857615819   5062389812362411        63914169
+--R    [----------------,------------------,------------------,- ----------------],
+--R     4503599627370496 288230376151711744 288230376151711744   9007199254740992
+--R     940126422213591  5007022802357075   312938820943547        1667260323
+--R    [---------------,------------------,-----------------,- ------------------],
+--R     562949953421312 288230376151711744 18014398509481984   288230376151711744
+--R     7566047373982433  2476129515444125   2476131891647213      148512693
+--R    [----------------,------------------,------------------,----------------],
+--R     4503599627370496 144115188075855872 144115188075855872 9007199254740992
+--R     3805541685128069  4898100543209343   2449055464926647      10386643951
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 144115188075855872 288230376151711744
+--R     7656119366529843  4844547339320355   1211138956247607     8485670073
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 288230376151711744 72057594037927936 288230376151711744
+--R
+--R      1925288840700887   2395799709610643    4791591795350965
+--R     [----------------, ------------------, ------------------,
+--R      1125899906842624  144115188075855872  288230376151711744
+--R            7623870321
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     7746191359077253  4739199136836905   2369606121563731      13106290557
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 144115188075855872 288230376151711744
+--R     3895613677675479  2343702069121221   585926330648703      3253473591
+--R    [----------------,------------------,-----------------,------------------],
+--R     2251799813685248 144115188075855872 36028797018963968 144115188075855872
+--R
+--R      7836263351624663   4636185600400283    2318090276112137
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  144115188075855872
+--R            5048176009
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     7  1146378675068203  4585515587885473       887612661
+--R    [-,-----------------,------------------,------------------],
+--R     4 72057594037927936 288230376151711744 288230376151711744
+--R     990791918021509  1133855065224411  2267704723977305        5406471517
+--R    [---------------,-----------------,------------------,- ------------------],
+--R     562949953421312 72057594037927936 144115188075855872   144115188075855872
+--R     7971371340445777  8971689272399101   4485855899510399      22526621697
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 576460752303423488 288230376151711744 576460752303423488
+--R     4008203668359741  8873690944507519   8873697560217267      1653927437
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 576460752303423488 576460752303423488 144115188075855872
+--R
+--R      8061443332993187   8776787892045313    4388381996971575
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  576460752303423488  288230376151711744
+--R            23898102163
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R
+--R      2026619832316723   4340461234468627    8680899052373765
+--R     [----------------, ------------------, ------------------,
+--R      1125899906842624  288230376151711744  576460752303423488
+--R            23416563489
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     8151515325540597  8586094675183341   1073261352978985       3851351461
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 576460752303423488 72057594037927936   576460752303423488
+--R     ,
+--R     4098275660907151  4246152255391787   8492327531222993      23020439419
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 576460752303423488 576460752303423488
+--R     8241587318088007  8399609621813183   8399597530488967        1511415527
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 576460752303423488 576460752303423488   72057594037927936
+--R     ,
+--R     517913957147607  2076973679030427   519243081817489        1351760471
+--R    [---------------,------------------,-----------------,- ------------------],
+--R     281474976710656 144115188075855872 36028797018963968   144115188075855872
+--R     8331659310635417  2054304359946095   1027148935555433       6488835229
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 144115188075855872 72057594037927936   144115188075855872
+--R     ,
+--R
+--R      4188347653454561   8127520146725967    8127492802533109
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  576460752303423488  576460752303423488
+--R            13672096429
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R
+--R      8421731303182827   4019401418473235    2009695534083059
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  144115188075855872
+--R            10350307117
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R
+--R      2116691824864133   7951065510445889    7951048484396819
+--R     [----------------, ------------------, ------------------,
+--R      1125899906842624  576460752303423488  576460752303423488
+--R            8513024535
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     8511803295730237  245759630225757   1966070242353657        6799452399
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 18014398509481984 144115188075855872   144115188075855872
+--R     ,
+--R
+--R      4278419646001971   1944618290301561    3889234418390719
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  144115188075855872  288230376151711744
+--R            2162212403
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R
+--R      8601875288277647   1923404534616795    7693601453193881
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  144115188075855872  576460752303423488
+--R            16685273299
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R
+--R      1080863910568919   3804842726465901    7609668305258795
+--R     [----------------, ------------------, ------------------,
+--R       562949953421312  288230376151711744  576460752303423488
+--R            17147673007
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     8691947280825057  7526675104600109   7526658998118829        125831885
+--R    [----------------,------------------,------------------,- ----------------],
+--R     4503599627370496 576460752303423488 576460752303423488   4503599627370496
+--R
+--R      4368491638549381   7444587093472101    7444563254094147
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  576460752303423488  576460752303423488
+--R            11919688977
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     8782019273372467  7363363773472549   230105340979375      7137867451
+--R    [----------------,------------------,-----------------,------------------],
+--R     4503599627370496 576460752303423488 18014398509481984 576460752303423488
+--R     2206763817411543  3641531395338341   910383990315001      4565921663
+--R    [----------------,------------------,-----------------,------------------],
+--R     1125899906842624 288230376151711744 72057594037927936 288230376151711744
+--R
+--R      8872091265919877   7203684145084501    7203656353494947
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  576460752303423488  576460752303423488
+--R            13895794777
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     4458563631096791  890639068068193   3562557191013423       918740651
+--R    [----------------,-----------------,------------------,------------------],
+--R     2251799813685248 72057594037927936 288230376151711744 288230376151711744
+--R
+--R      8962163258467287   7047463281210273    3523718148249119
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  576460752303423488  288230376151711744
+--R            26984712035
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R        6970621062928227   6970612494646361        4284140933
+--R    [2,------------------,------------------,- ------------------]]
+--R       576460752303423488 576460752303423488   288230376151711744
+--R                                             Type: List List Fraction Integer
 --E 6
 
 \end{chunk}
+
+The actual table values from above are:
+\begin{verbatim}
+ [1.0E-2,                0.1098682, 
+                         0.10986822627360165, 
+                         2.6273601655413259E-8] 
+ [2.0E-2,                0.1086395, 
+                         0.10863946164415648, 
+                        -3.8355843515192056E-8] 
+ [2.9999999999999999E-2, 0.1074246, 
+                         0.10742465352510716, 
+                         5.3525107165941499E-8] 
+ [4.0000000000000001E-2, 0.1062236, 
+                         0.10622364016949924, 
+                         4.016949924079416E-8] 
+ [5.0000000000000003E-2, 0.1050363, 
+                         0.10503626175690921, 
+                        -3.8243090791367784E-8]
+ [5.9999999999999998E-2, 0.10386239999999999, 
+                         0.10386236036958028, 
+                        -3.9630419709779652E-8]
+ [7.0000000000000007E-2, 0.1027018, 
+                         0.1027017799688722, 
+                        -2.0031127798136872E-8]
+ [8.0000000000000002E-2, 0.1015544, 
+                         0.1015543663720207, 
+                        -3.3627979303951783E-8]
+ [8.9999999999999997E-2, 0.10042, 
+                         0.1004199672292018, 
+                        -3.2770798200076889E-8] 
+ [0.10000000000000001,   9.9298399999999995E-2, 
+                         9.9298432000896802E-2, 
+                         3.2000896807438117E-8]
+ [0.11,                  9.8189600000000002E-2, 
+                         9.8189611935553478E-2, 
+                         1.1935553476116745E-8] 
+ [0.12,                  9.7093399999999996E-2, 
+                         9.7093360047539198E-2, 
+                        -3.9952460798020617E-8] 
+ [0.13,                  9.6009499999999998E-2, 
+                         9.6009531095381809E-2, 
+                         3.109538181111926E-8] 
+ [0.14000000000000001,   9.4937999999999995E-2, 
+                         9.4937981560294218E-2, 
+                        -1.8439705776196469E-8]
+ [0.14999999999999999,   9.3878600000000006E-2, 
+                         9.3878569624978384E-2, 
+                        -3.037502162295258E-8]
+ [0.16,                  9.2831200000000003E-2, 
+                         9.2831155152705111E-2, 
+                        -4.4847294891625644E-8] 
+ [0.17000000000000001,   9.1795600000000005E-2, 
+                         9.1795599666665256E-2, 
+                        -3.3333474869223778E-10]
+ [0.17999999999999999,   9.07718E-2, 
+                         9.0771766329588957E-2, 
+                        -3.3670411042630022E-8]
+ [0.19,                  8.9759500000000006E-2, 
+                         8.9759519923628739E-2, 
+                         1.9923628732931853E-8] 
+ [0.20000000000000001,   8.8758699999999996E-2, 
+                         8.8758726830502982E-2, 
+                         2.6830502986019411E-8]
+ [0.20999999999999999,   8.7769299999999995E-2, 
+                         8.7769255011895919E-2, 
+                        -4.4988104075383006E-8]
+ [0.22,                  8.6790999999999993E-2, 
+                         8.6790973990110751E-2, 
+                        -2.6009889242395445E-8] 
+ [0.23000000000000001,   8.5823800000000006E-2, 
+                         8.5823754828972157E-2, 
+                        -4.5171027848733836E-8]
+ [0.23999999999999999,   8.4867499999999998E-2, 
+                         8.4867470114974794E-2, 
+                        -2.9885025204512417E-8]
+ [0.25,                  8.3921999999999997E-2, 
+                         8.3921993938674291E-2, 
+                        -6.0613257052422043E-9] 
+ [0.26000000000000001,   8.2987199999999997E-2, 
+                         8.2987201876317501E-2, 
+                         1.8763175041458524E-9]
+ [0.27000000000000002,   8.2062999999999997E-2, 
+                         8.2062970971708463E-2, 
+                        -2.9028291534394235E-8]
+ [0.28000000000000003,   8.1149200000000005E-2, 
+                         8.1149179718306999E-2, 
+                        -2.0281693005608226E-8]
+ [0.28999999999999998,   8.0245700000000003E-2, 
+                         8.0245708041556577E-2, 
+                         8.041556573412656E-9]
+ [0.29999999999999999,   7.9352400000000003E-2, 
+                         7.9352437281438454E-2, 
+                         3.7281438450276205E-8]
+ [0.31,                  7.8469300000000006E-2, 
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+                         1.4894493318970201E-2, 
+                        -6.6810297988384448E-9]
+ [1.8200000000000001,    1.47318E-2, 
+                         1.4731839934096682E-2, 
+                         3.9934096682237019E-8] 
+ [1.8300000000000001,    1.4571000000000001E-2, 
+                         1.4570979024896022E-2, 
+                        -2.0975103978346232E-8]
+ [1.8400000000000001,    1.44119E-2, 
+                         1.4411890620277503E-2, 
+                        -9.3797224969688342E-9]
+ [1.8500000000000001,    1.4254599999999999E-2, 
+                         1.4254554974660784E-2, 
+                        -4.5025339215701288E-8]
+ [1.8600000000000001,    1.4099E-2, 
+                         1.4098952565386716E-2, 
+                        -4.7434613284144667E-8]
+ [1.8700000000000001,    1.39451E-2, 
+                         1.3945064090158516E-2, 
+                        -3.590984148406362E-8]
+ [1.8799999999999999,    1.37929E-2, 
+                         1.3792870464512974E-2, 
+                        -2.9535487026596807E-8]
+ [1.8899999999999999,    1.3642400000000001E-2, 
+                         1.3642352819321199E-2, 
+                        -4.7180678801328479E-8]
+ [1.8999999999999999,    1.34935E-2, 
+                         1.3493492498318767E-2, 
+                        -7.5016812327993732E-9]
+ [1.9099999999999999,    1.33463E-2, 
+                         1.3346271055664704E-2, 
+                        -2.8944335296599011E-8]
+ [1.9199999999999999,    1.3200699999999999E-2, 
+                         1.3200670253529076E-2, 
+                        -2.9746470923616708E-8]
+ [1.9299999999999999,    1.3056699999999999E-2, 
+                         1.3056672059708809E-2, 
+                        -2.794029119006225E-8]
+ [1.9399999999999999,    1.29143E-2, 
+                         1.2914258645271409E-2, 
+                        -4.1354728591222467E-8]
+ [1.95,                  1.2773400000000001E-2, 
+                         1.2773412382226235E-2, 
+                         1.2382226233925708E-8] 
+ [1.96,                  1.2634100000000001E-2, 
+                         1.2634115841222995E-2, 
+                         1.5841222994819604E-8] 
+ [1.97,                  1.24964E-2, 
+                         1.2496351789277165E-2, 
+                        -4.8210722834035602E-8] 
+ [1.98,                  1.2360100000000001E-2, 
+                         1.236010318752195E-2, 
+                         3.1875219495131057E-9] 
+ [1.99,                  1.2225400000000001E-2, 
+                         1.222535318898654E-2, 
+                        -4.6811013461323103E-8] 
+ [2.,                    1.20921E-2, 
+                         1.2092085136400298E-2, 
+                        -1.4863599701736563E-8]]
+\end{verbatim}
+
 This table expresses the value of 
 $E_20$ with an argument range of 0.01 to 2.00.
+
 \begin{chunk}{*}
+
 --S 7 of 7
+t7:List List Fraction Integer:=[[machineFraction (x::DFLOAT) for x in line]_
+ for line in _
 [[0.01,0.0520790,En(20,0.01),En(20,0.01)-0.0520790],_
 [0.02,0.0515321,En(20,0.02),En(20,0.02)-0.0515321],_
 [0.03,0.0509911,En(20,0.03),En(20,0.03)-0.0509911],_
@@ -3214,585 +6148,1523 @@ $E_20$ with an argument range of 0.01 to 2.00.
 [1.97,0.0066195,En(20,1.97),En(20,1.97)-0.0066195],_
 [1.98,0.0065504,En(20,1.98),En(20,1.98)-0.0065504],_
 [1.99,0.0064820,En(20,1.99),En(20,1.99)-0.0064820],_
-[2.00,0.0064143,En(20,2.00),En(20,2.00)-0.0064143]]
+[2.00,0.0064143,En(20,2.00),En(20,2.00)-0.0064143]]]
 --R 
 --R
 --R   (7)
---R   [[1.0E-2,5.2079E-2,5.2078954179335148E-2,- 4.5820664852647131E-8],
---R    [2.0E-2,5.1532099999999997E-2,5.1532149651352818E-2,4.9651352820867523E-8],
---R
---R     [2.9999999999999999E-2, 5.0991099999999998E-2, 5.0991103854550281E-2,
---R      3.8545502831222045E-9]
---R     ,
---R
---R     [4.0000000000000001E-2, 5.0455800000000002E-2, 5.0455755932602576E-2,
---R      - 4.4067397425573418E-8]
---R     ,
---R
---R     [5.0000000000000003E-2, 4.9925999999999998E-2, 4.9926045674777729E-2,
---R      4.5674777730819738E-8]
---R     ,
---R
---R     [5.9999999999999998E-2, 4.9401899999999999E-2, 4.9401913509057829E-2,
---R      1.3509057830707327E-8]
---R     ,
---R
---R     [7.0000000000000007E-2, 4.8883299999999998E-2, 4.8883300495333924E-2,
---R      4.9533392665335185E-10]
---R     ,
---R
---R     [8.0000000000000002E-2, 4.8370200000000002E-2, 4.83701483186737E-2,
---R      - 5.1681326301844521E-8]
---R     ,
---R
---R     [8.9999999999999997E-2, 4.7862399999999999E-2, 4.786239928266129E-2,
---R      - 7.1733870926626864E-10]
---R     ,
---R
---R     [0.10000000000000001, 4.7359999999999999E-2, 4.7359996302808287E-2,
---R      - 3.6971917125039333E-9]
---R     ,
---R    [0.11,4.6862899999999999E-2,4.6862882900035485E-2,- 1.7099964513822563E-8],
---R    [0.12,4.6371000000000002E-2,4.6371003194224242E-2,3.1942242392779541E-9],
---R    [0.13,4.5884300000000003E-2,4.5884301897836918E-2,1.8978369153987984E-9],
---R
---R     [0.14000000000000001, 4.5402699999999997E-2, 4.5402724309605645E-2,
---R      2.430960564792084E-8]
---R     ,
---R
---R     [0.14999999999999999, 4.4926199999999999E-2, 4.4926216308288566E-2,
---R      1.6308288566801998E-8]
---R     ,
---R    [0.16,4.44547E-2,4.4454724346493016E-2,2.4346493016080828E-8],
---R
---R     [0.17000000000000001, 4.3988199999999998E-2, 4.398819544456465E-2,
---R      - 4.5554353483856502E-9]
---R     ,
---R
---R     [0.17999999999999999, 4.3526599999999999E-2, 4.3526577184542115E-2,
---R      - 2.2815457884073354E-8]
---R     ,
---R    [0.19,4.3069799999999998E-2,4.3069817704176359E-2,1.7704176361044155E-8],
---R
---R     [0.20000000000000001, 4.26179E-2, 4.2617865691013848E-2,
---R      - 3.4308986152087328E-8]
---R     ,
---R
---R     [0.20999999999999999, 4.2170699999999998E-2, 4.2170670376543248E-2,
---R      - 2.962345675011635E-8]
---R     ,
---R    [0.22,4.17282E-2,4.1728181530404598E-2,- 1.8469595401693351E-8],
---R
---R     [0.23000000000000001, 4.1290300000000002E-2, 4.1290349454660515E-2,
---R      4.9454660512593396E-8]
---R     ,
---R    [0.23999999999999999,4.08571E-2,4.0857124978128601E-2,2.4978128600194882E-8]
---R     ,
---R    [0.25,4.0428499999999999E-2,4.0428459450774591E-2,- 4.0549225407970901E-8],
---R    [0.26000000000000001,4.00043E-2,4.0004304738165339E-2,4.7381653392464251E-9]
---R     ,
---R
---R     [0.27000000000000002, 3.9584599999999998E-2, 3.9584613215981258E-2,
---R      1.3215981260750187E-8]
---R     ,
---R
---R     [0.28000000000000003, 3.9169299999999997E-2, 3.916933776458735E-2,
---R      3.7764587353106283E-8]
---R     ,
---R
---R     [0.28999999999999998, 3.8758399999999998E-2, 3.8758431763662324E-2,
---R      3.1763662325379194E-8]
---R     ,
---R
---R     [0.29999999999999999, 3.8351799999999998E-2, 3.8351849086885194E-2,
---R      4.908688519544846E-8]
---R     ,
---R    [0.31,3.7949499999999997E-2,3.7949544096678632E-2,4.4096678634975017E-8],
---R
---R     [0.32000000000000001, 3.7551500000000002E-2, 3.7551471639008578E-2,
---R      - 2.8360991423392878E-8]
---R     ,
---R
---R     [0.33000000000000002, 3.7157599999999999E-2, 3.7157587038239355E-2,
---R      - 1.2961760643970255E-8]
---R     ,
---R
---R     [0.34000000000000002, 3.6767800000000003E-2, 3.6767846092043928E-2,
---R      4.6092043924639281E-8]
---R     ,
---R
---R     [0.34999999999999998, 3.6382200000000003E-2, 3.6382205066368474E-2,
---R      5.0663684705853917E-9]
---R     ,
---R
---R     [0.35999999999999999, 3.6000600000000001E-2, 3.6000620690450777E-2,
---R      2.0690450776295055E-8]
---R     ,
---R    [0.37,3.5623099999999998E-2,3.5623050151891968E-2,- 4.9848108030214888E-8],
---R    [0.38,3.5249500000000003E-2,3.5249451091780772E-2,- 4.8908219231480476E-8],
---R
---R     [0.39000000000000001, 3.4879800000000002E-2, 3.4879781599870076E-2,
---R      - 1.8400129926654518E-8]
---R     ,
---R
---R     [0.40000000000000002, 3.4514000000000003E-2, 3.4514000209804857E-2,
---R      2.0980485404553662E-10]
---R     ,
---R
---R     [0.40999999999999998, 3.4152099999999998E-2, 3.4152065894401229E-2,
---R      - 3.410559876876329E-8]
---R     ,
---R
---R     [0.41999999999999998, 3.3793900000000002E-2, 3.3793938060975852E-2,
---R      3.8060975850184864E-8]
---R     ,
---R
---R     [0.42999999999999999, 3.34396E-2, 3.3439576546725337E-2,
---R      - 2.3453274662632584E-8]
---R     ,
---R    [0.44,3.3088899999999997E-2,3.308894161415496E-2,4.1614154962232863E-8],
---R
---R     [0.45000000000000001, 3.2742E-2, 3.2741993946556171E-2,
---R      - 6.0534438295345439E-9]
---R     ,
---R
---R     [0.46000000000000002, 3.2398700000000002E-2, 3.2398694643532566E-2,
---R      - 5.3564674362682752E-9]
---R     ,
---R
---R     [0.46999999999999997, 3.2058999999999997E-2, 3.2059005216573518E-2,
---R      5.216573520372414E-9]
---R     ,
---R
---R     [0.47999999999999998, 3.1722899999999998E-2, 3.1722887584675112E-2,
---R      - 1.2415324886216883E-8]
---R     ,
---R
---R     [0.48999999999999999, 3.1390300000000003E-2, 3.1390304070007917E-2,
---R      4.070007914025453E-9]
---R     ,
---R    [0.5,3.1061200000000001E-2,3.1061217393630984E-2,1.7393630983436603E-8],
---R
---R     [0.51000000000000001, 3.0735599999999998E-2, 3.0735590671251607E-2,
---R      - 9.3287483918236269E-9]
---R     ,
---R
---R     [0.52000000000000002, 3.04134E-2, 3.0413387409030435E-2,
---R      - 1.2590969565573484E-8]
---R     ,
---R
---R     [0.53000000000000003, 3.0094599999999999E-2, 3.009457149943125E-2,
---R      - 2.8500568748784927E-8]
---R     ,
---R
---R     [0.54000000000000004, 2.9779099999999999E-2, 2.9779107217115259E-2,
---R      7.217115259583462E-9]
---R     ,
---R
---R     [0.55000000000000004, 2.9467E-2, 2.9466959214879015E-2,
---R      - 4.0785120985348255E-8]
---R     ,
---R
---R     [0.56000000000000005, 2.9158099999999999E-2, 2.9158092519635862E-2,
---R      - 7.4803641371412599E-9]
---R     ,
---R
---R     [0.56999999999999995, 2.88525E-2, 2.8852472528440212E-2,
---R      - 2.7471559787412003E-8]
---R     ,
---R
---R     [0.57999999999999996, 2.8550099999999998E-2, 2.8550065004554304E-2,
---R      - 3.4995445694074867E-8]
---R     ,
---R    [0.58999999999999997,2.82508E-2,2.8250836073556898E-2,3.6073556898552628E-8]
---R     ,
---R
---R     [0.59999999999999998, 2.7954799999999998E-2, 2.7954752219493562E-2,
---R      - 4.7780506436806425E-8]
---R     ,
---R
---R     [0.60999999999999999, 2.76618E-2, 2.7661780281068072E-2,
---R      - 1.9718931928286443E-8]
---R     ,
---R    [0.62,2.7371900000000001E-2,2.7371887447874325E-2,- 1.2552125675663328E-8],
---R    [0.63,2.7085000000000001E-2,2.7085041256668666E-2,4.1256668664724216E-8],
---R
---R     [0.64000000000000001, 2.6801200000000001E-2, 2.6801209587681844E-2,
---R      9.5876818428930477E-9]
---R     ,
---R
---R     [0.65000000000000002, 2.65204E-2, 2.6520360660970379E-2,
---R      - 3.9339029620638621E-8]
---R     ,
---R
---R     [0.66000000000000003, 2.6242499999999998E-2, 2.6242463032806879E-2,
---R      - 3.6967193119130659E-8]
---R     ,
---R
---R     [0.67000000000000004, 2.5967500000000001E-2, 2.5967485592108871E-2,
---R      - 1.4407891130163719E-8]
---R     ,
---R
---R     [0.68000000000000005, 2.56954E-2, 2.5695397556905687E-2,
---R      - 2.4430943136588557E-9]
---R     ,
---R
---R     [0.68999999999999995, 2.5426199999999999E-2, 2.5426168470843124E-2,
---R      - 3.1529156875598208E-8]
---R     ,
---R
---R     [0.69999999999999996, 2.51598E-2, 2.5159768199725301E-2,
---R      - 3.1800274698234876E-8]
---R     ,
---R
---R     [0.70999999999999996, 2.48962E-2, 2.489616692809353E-2,
---R      - 3.3071906470338863E-8]
---R     ,
---R
---R     [0.71999999999999997, 2.4635299999999999E-2, 2.4635335155841546E-2,
---R      3.5155841546924416E-8]
---R     ,
---R
---R     [0.72999999999999998, 2.4377200000000002E-2, 2.4377243694866949E-2,
---R      4.3694866946886179E-8]
---R     ,
---R
---R     [0.73999999999999999, 2.4121900000000002E-2, 2.4121863665758296E-2,
---R      - 3.6334241705626713E-8]
---R     ,
---R    [0.75,2.38692E-2,2.386916649451758E-2,- 3.3505482419787791E-8],
---R
---R     [0.76000000000000001, 2.3619100000000001E-2, 2.3619123909317606E-2,
---R      2.3909317605624869E-8]
---R     ,
---R
---R     [0.77000000000000002, 2.3371699999999999E-2, 2.3371707937294008E-2,
---R      7.9372940095523425E-9]
---R     ,
---R
---R     [0.78000000000000003, 2.3126899999999999E-2, 2.3126890901371419E-2,
---R      - 9.0986285797289845E-9]
---R     ,
---R
---R     [0.79000000000000004, 2.2884600000000001E-2, 2.2884645417123543E-2,
---R      4.5417123541169335E-8]
---R     ,
---R
---R     [0.80000000000000004, 2.2644899999999999E-2, 2.2644944389666643E-2,
---R      4.4389666643829262E-8]
---R     ,
---R
---R     [0.81000000000000005, 2.2407799999999999E-2, 2.2407761010586214E-2,
---R      - 3.8989413784357163E-8]
---R     ,
---R
---R     [0.81999999999999995, 2.2173100000000001E-2, 2.2173068754896382E-2,
---R      - 3.124510361898758E-8]
---R     ,
---R    [0.82999999999999996,2.19408E-2,2.1940841378031716E-2,4.1378031716277075E-8]
---R     ,
---R
---R     [0.83999999999999997, 2.1711100000000001E-2, 2.1711052912871148E-2,
---R      - 4.708712885229116E-8]
---R     ,
---R
---R     [0.84999999999999998, 2.1483700000000001E-2, 2.1483677666793578E-2,
---R      - 2.2333206423086338E-8]
---R     ,
---R
---R     [0.85999999999999999, 2.1258699999999998E-2, 2.1258690218764878E-2,
---R      - 9.7812351204651371E-9]
---R     ,
---R    [0.87,2.1036099999999999E-2,2.1036065416455953E-2,- 3.4583544045868608E-8],
---R    [0.88,2.0815799999999999E-2,2.0815778373391495E-2,- 2.162660850402176E-8],
---R
---R     [0.89000000000000001, 2.0597799999999999E-2, 2.0597804466129153E-2,
---R      4.4661291540015746E-9]
---R     ,
---R    [0.90000000000000002,2.03821E-2,2.0382119331468756E-2,1.9331468755628967E-8]
---R     ,
---R
---R     [0.91000000000000003, 2.0168700000000001E-2, 2.0168698863691235E-2,
---R      - 1.136308765831151E-9]
---R     ,
---R    [0.92000000000000004,1.99575E-2,1.9957519211827056E-2,1.9211827056303532E-8]
---R     ,
---R
---R     [0.93000000000000005, 1.9748600000000002E-2, 1.9748556776953658E-2,
---R      - 4.3223046343465743E-8]
---R     ,
---R
---R     [0.93999999999999995, 1.9541800000000002E-2, 1.9541788209521748E-2,
---R      - 1.1790478253448367E-8]
---R     ,
---R
---R     [0.94999999999999996, 1.9337199999999999E-2, 1.9337190406710072E-2,
---R      - 9.5932899263351246E-9]
---R     ,
---R
---R     [0.95999999999999996, 1.9134700000000001E-2, 1.9134740509808349E-2,
---R      4.0509808348077048E-8]
---R     ,
---R
---R     [0.96999999999999997, 1.8934400000000001E-2, 1.8934415901628112E-2,
---R      1.5901628111492094E-8]
---R     ,
---R
---R     [0.97999999999999998, 1.8736200000000001E-2, 1.8736194203941098E-2,
---R      - 5.7960589036620824E-9]
---R     ,
---R
---R     [0.98999999999999999, 1.85401E-2, 1.8540053274944939E-2,
---R      - 4.6725055061203058E-8]
---R     ,
---R    [1.,1.8346000000000001E-2,1.8345971206755872E-2,- 2.8793244129243778E-8],
---R    [1.01,1.8153900000000001E-2,1.8153926322928098E-2,2.6322928097649578E-8],
---R    [1.02,1.7963900000000001E-2,1.7963897175999596E-2,- 2.8240004050494871E-9],
---R    [1.03,1.7775900000000001E-2,1.7775862545064098E-2,- 3.745493590279203E-8],
---R    [1.04,1.7589799999999999E-2,1.7589801433368843E-2,1.433368843756222E-9],
---R    [1.05,1.74057E-2,1.7405693065937998E-2,- 6.9340620016677956E-9],
---R
---R     [1.0600000000000001, 1.7223499999999999E-2, 1.7223516887221315E-2,
---R      1.6887221315764478E-8]
---R     ,
---R
---R     [1.0700000000000001, 1.7043300000000001E-2, 1.7043252558767878E-2,
---R      - 4.744123212330198E-8]
---R     ,
---R
---R     [1.0800000000000001, 1.6864899999999999E-2, 1.6864879956924574E-2,
---R      - 2.0043075425052459E-8]
---R     ,
---R
---R     [1.0900000000000001, 1.6688399999999999E-2, 1.6688379170559084E-2,
---R      - 2.082944091513772E-8]
---R     ,
---R
---R     [1.1000000000000001, 1.6513699999999999E-2, 1.6513730498807128E-2,
---R      3.0498807129103467E-8]
---R     ,
---R
---R     [1.1100000000000001, 1.6340899999999998E-2, 1.6340914448843669E-2,
---R      1.4448843670133993E-8]
---R     ,
---R
---R     [1.1200000000000001, 1.6169900000000001E-2, 1.6169911733677846E-2,
---R      1.1733677845321422E-8]
---R     ,
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---R     [1.1399999999999999, 1.5833300000000002E-2, 1.5833270175880269E-2,
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---R     [1.1599999999999999, 1.55037E-2, 1.5503655563849129E-2,
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---R     [1.1799999999999999, 1.5180900000000001E-2, 1.5180920792137275E-2,
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---R     [1.1899999999999999, 1.50221E-2, 1.5022088222547223E-2,
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---R     [1.3100000000000001, 1.32412E-2, 1.3241176612228069E-2,
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---R     [1.3300000000000001, 1.29657E-2, 1.2965653074300341E-2,
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---R     [1.3400000000000001, 1.2830100000000001E-2, 1.2830054318167606E-2,
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---R     [1.3600000000000001, 1.2563100000000001E-2, 1.2563107277575319E-2,
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---R     [1.3999999999999999, 1.2045800000000001E-2, 1.2045801939061785E-2,
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---R     [1.4299999999999999, 1.1671900000000001E-2, 1.1671885432496448E-2,
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---R     [1.5600000000000001, 1.01815E-2, 1.0181462876406836E-2,
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---R      4.8547498557663382E-8]
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---R     [1.5900000000000001, 9.8656000000000004E-3, 9.8655522131073474E-3,
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---R     [1.6000000000000001, 9.7623999999999992E-3, 9.7624476007891394E-3,
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---R     [1.6899999999999999, 8.8818000000000005E-3, 8.8817802727129049E-3,
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---R     [1.8100000000000001, 7.8302000000000007E-3, 7.8301532177440097E-3,
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---R     [1.8999999999999999, 7.1241999999999998E-3, 7.1241682687884587E-3,
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---R    [2.,6.4143000000000004E-3,6.4143058553248998E-3,5.8553248994189233E-9]]
---R                               Type: List List OnePointCompletion DoubleFloat
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+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 576460752303423488 288230376151711744 576460752303423488
+--R
+--R      5809643519307939   3897624084549137    7795231342663787
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  576460752303423488
+--R            16826434487
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     1463669878895411  1928419743161835   7713697477040771      18504393431
+--R    [----------------,------------------,------------------,------------------],
+--R     1125899906842624 144115188075855872 576460752303423488 576460752303423488
+--R     5899715511855349  7633032113400091   7633018631267491        1685266575
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 576460752303423488 576460752303423488   72057594037927936
+--R     ,
+--R
+--R      2972375754064527   3776596149603033    7553185813136739
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  288230376151711744  576460752303423488
+--R            6486069327
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R
+--R      5989787504402759   7474217176140497    1868547531329093
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  576460752303423488  144115188075855872
+--R            27050824125
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     377176468792279  7396049098128153   7396022764344687        13166891733
+--R    [---------------,------------------,------------------,- ------------------]
+--R     281474976710656 576460752303423488 576460752303423488   288230376151711744
+--R     ,
+--R
+--R      6079859496950169   3659344032584517    7318675019636483
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  576460752303423488
+--R            13045532551
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     3062447746611937  7242134077263139   7242138272499685      2097618273
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 576460752303423488 576460752303423488 288230376151711744
+--R     6169931489497579  7166387134410469   1791600998790605      16860751951
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 576460752303423488 144115188075855872 576460752303423488
+--R     1553741871442821  443215452288189   443216484363153      258018741
+--R    [----------------,-----------------,-----------------,----------------],
+--R     1125899906842624 36028797018963968 36028797018963968 9007199254740992
+--R
+--R      6260003482044989   1754328595966201    3508654593817403
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  144115188075855872  288230376151711744
+--R            2598114999
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     3152519739159347  3471965465048289   3471966023944797      139724127
+--R    [----------------,------------------,------------------,-----------------],
+--R     2251799813685248 288230376151711744 288230376151711744 72057594037927936
+--R     6350075474592399  6871296875306347   3435662078479879      27281653411
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 576460752303423488 288230376151711744 576460752303423488
+--R     799388933858263  1699867466392335   424967339214925      1890467365
+--R    [---------------,------------------,-----------------,------------------],
+--R     562949953421312 144115188075855872 36028797018963968 144115188075855872
+--R     6440147467139809  841049031851291   420523991076017        1049699257
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 72057594037927936 36028797018963968   72057594037927936
+--R
+--R      3242591731706757   3329032021514655    6658035528574981
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  288230376151711744  576460752303423488
+--R            28514454329
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     6530219459687219  6588427584151057   411776537956111        2976853281
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 576460752303423488 36028797018963968   576460752303423488
+--R     ,
+--R     1643813863990231  3259770262125399   6519543341783843      2817533045
+--R    [----------------,------------------,------------------,------------------],
+--R     1125899906842624 288230376151711744 576460752303423488 576460752303423488
+--R     6620291452234629  6451402863328533   201605751942949        18801154165
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 576460752303423488 18014398509481984   576460752303423488
+--R     ,
+--R
+--R      3332663724254167   6383956955309033    6383939179487509
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  576460752303423488  576460752303423488
+--R            4443955381
+--R      - ------------------]
+--R        144115188075855872
+--R     ,
+--R     6710363444782039  789650350024037   789650148095319        100964359
+--R    [----------------,-----------------,-----------------,- -----------------],
+--R     4503599627370496 72057594037927936 72057594037927936   36028797018963968
+--R     3  1562785099494581   3125581324106579      11125117417
+--R    [-,------------------,------------------,------------------],
+--R     2 144115188075855872 288230376151711744 288230376151711744
+--R     850054429666181  3092913697371173   6185816218389607        11176352739
+--R    [---------------,------------------,------------------,- ------------------]
+--R     562949953421312 288230376151711744 576460752303423488   576460752303423488
+--R     ,
+--R     6845471433603153  3060574249166951   6121154621349937      6123016035
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 576460752303423488 576460752303423488
+--R     3445253714938429  3028580677414111   1514292664959975      4652505839
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 144115188075855872 288230376151711744
+--R
+--R      6935543426150563   2996932982112653    2996928606240811
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  288230376151711744
+--R            2187935921
+--R      - ------------------]
+--R        144115188075855872
+--R     ,
+--R     1745144855606067  1482801170112481   5931207232970871      2552520947
+--R    [----------------,------------------,------------------,------------------],
+--R     1125899906842624 144115188075855872 576460752303423488 576460752303423488
+--R
+--R      7025615418697973   2934617574788653    5869213749282865
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  288230376151711744  576460752303423488
+--R            21400294441
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     3535325707485839  5807842079456991   2903934931443255      27783429519
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 576460752303423488 288230376151711744 576460752303423488
+--R     7115687411245383  5747140762239441   5747168747966983      13992863771
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 576460752303423488 576460752303423488 288230376151711744
+--R     447545212969943  2843565598962327   5687103650656567        27547268087
+--R    [---------------,------------------,------------------,- ------------------]
+--R     281474976710656 288230376151711744 576460752303423488   576460752303423488
+--R     ,
+--R     7205759403792793  5627640448286941   1406916972068415      27439986719
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 576460752303423488 144115188075855872 576460752303423488
+--R     3625397700033249  696105181443999   2784427424284931      6698508935
+--R    [----------------,-----------------,------------------,------------------],
+--R     2251799813685248 72057594037927936 288230376151711744 288230376151711744
+--R     7295831396340203  172208642551393   5510657988985053        18572659523
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     4503599627370496 18014398509481984 576460752303423488   576460752303423488
+--R     ,
+--R     1835216848153477  681636016561183   1363267708977597        4324144769
+--R    [----------------,-----------------,------------------,- ------------------]
+--R     1125899906842624 72057594037927936 144115188075855872   144115188075855872
+--R     ,
+--R     7385903388887613  42156845031927   2698043491979555      5409936227
+--R    [----------------,----------------,------------------,------------------],
+--R     4503599627370496 4503599627370496 288230376151711744 288230376151711744
+--R     3715469692580659  5339698302511381   2669850047622553      1792733725
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 576460752303423488 288230376151711744 576460752303423488
+--R     7475975381435023  2641948450844205   2641951949334563      1749245179
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 288230376151711744 288230376151711744 144115188075855872
+--R     940126422213591  2614335980808871   2614346094606287      1264224677
+--R    [---------------,------------------,------------------,-----------------],
+--R     562949953421312 288230376151711744 288230376151711744 36028797018963968
+--R
+--R      7566047373982433   5174081128374607    5174058827238795
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  576460752303423488  576460752303423488
+--R            5575283953
+--R      - ------------------]
+--R        144115188075855872
+--R     ,
+--R
+--R      3805541685128069   2560004554904273    5119997737801787
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  288230376151711744  576460752303423488
+--R            11372006759
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     7656119366529843  5066513551994789   2473878374005        10642032549
+--R    [----------------,------------------,---------------,- ------------------],
+--R     4503599627370496 576460752303423488 281474976710656   576460752303423488
+--R
+--R      1925288840700887   2506797227466667    1253392099027709
+--R     [----------------, ------------------, ------------------,
+--R      1125899906842624  288230376151711744  144115188075855872
+--R            13029411249
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R
+--R      7746191359077253   4961194172548953    2480594155649371
+--R     [----------------, ------------------, ------------------,
+--R      4503599627370496  576460752303423488  288230376151711744
+--R            5861250211
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R
+--R      3895613677675479   4909370350916875    4909356832575193
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  576460752303423488  576460752303423488
+--R            6759170841
+--R      - ------------------]
+--R        288230376151711744
+--R     ,
+--R     7836263351624663  4858065343961871   4858068198332111      44599535
+--R    [----------------,------------------,------------------,----------------],
+--R     4503599627370496 576460752303423488 576460752303423488 9007199254740992
+--R     7  4807336797759169   4807316707655685        5022525871
+--R    [-,------------------,------------------,- ------------------],
+--R     4 576460752303423488 576460752303423488   144115188075855872
+--R     990791918021509  4757069420158311   4757096719684817      13649763253
+--R    [---------------,------------------,------------------,------------------],
+--R     562949953421312 576460752303423488 576460752303423488 288230376151711744
+--R     7971371340445777  1176844625827439   2353701326488195      12074833317
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 144115188075855872 288230376151711744 288230376151711744
+--R     4008203668359741  2329103200569137   1164557246219315      11291869493
+--R    [----------------,------------------,------------------,------------------],
+--R     2251799813685248 288230376151711744 144115188075855872 288230376151711744
+--R     8061443332993187  4609553113643865   2304785125451461      17137259057
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 576460752303423488 288230376151711744 576460752303423488
+--R     2026619832316723  4561418640826529   4561421044122753       75103007
+--R    [----------------,------------------,------------------,-----------------],
+--R     1125899906842624 576460752303423488 576460752303423488 18014398509481984
+--R     8151515325540597  2256901491343133   2256888007275893        1685508405
+--R    [----------------,------------------,------------------,- -----------------]
+--R     4503599627370496 288230376151711744 288230376151711744   36028797018963968
+--R     ,
+--R
+--R      4098275660907151    8933296986295693     8933259737097879
+--R     [----------------, -------------------, -------------------,
+--R      2251799813685248  1152921504606846976  1152921504606846976
+--R            18624598907
+--R      - ------------------]
+--R        576460752303423488
+--R     ,
+--R     8241587318088007  4419955172211269   4419977368221621      1387250647
+--R    [----------------,------------------,------------------,-----------------],
+--R     4503599627370496 576460752303423488 576460752303423488 36028797018963968
+--R
+--R      517913957147607   4373838312026995     8747626661673305
+--R     [---------------, ------------------, -------------------,
+--R      281474976710656  576460752303423488  1152921504606846976
+--R            49962380685
+--R      - -------------------]
+--R        1152921504606846976
+--R     ,
+--R
+--R      8331659310635417    8656249948738667    4328132628237443
+--R     [----------------, -------------------, ------------------,
+--R      4503599627370496  1152921504606846976  576460752303423488
+--R          15307736219
+--R      -------------------]
+--R      1152921504606846976
+--R     ,
+--R
+--R      4188347653454561   4282930451388745     8565860372534681
+--R     [----------------, ------------------, -------------------,
+--R      2251799813685248  576460752303423488  1152921504606846976
+--R             530242809
+--R      - -------------------]
+--R        1152921504606846976
+--R     ,
+--R
+--R      8421731303182827    8476394194019999    2119100492099549
+--R     [----------------, -------------------, ------------------,
+--R      4503599627370496  1152921504606846976  288230376151711744
+--R           7774378197
+--R      -------------------]
+--R      1152921504606846976
+--R     ,
+--R
+--R      2116691824864133    8387849822466193     8387880108340803
+--R     [----------------, -------------------, -------------------,
+--R      1125899906842624  1152921504606846976  1152921504606846976
+--R          15142937305
+--R      ------------------]
+--R      576460752303423488
+--R     ,
+--R
+--R      8511803295730237    8300227788116073     8300284961250733
+--R     [----------------, -------------------, -------------------,
+--R      4503599627370496  1152921504606846976  1152921504606846976
+--R          14293283665
+--R      ------------------]
+--R      288230376151711744
+--R     ,
+--R
+--R      4278419646001971    8213643383120099    4106803399761973
+--R     [----------------, -------------------, ------------------,
+--R      2251799813685248  1152921504606846976  576460752303423488
+--R            36583596153
+--R      - -------------------]
+--R        1152921504606846976
+--R     ,
+--R
+--R      8601875288277647    8127866023177349    4063917998985349
+--R     [----------------, -------------------, ------------------,
+--R      4503599627370496  1152921504606846976  576460752303423488
+--R            30025206651
+--R      - -------------------]
+--R        1152921504606846976
+--R     ,
+--R
+--R      1080863910568919    8043011000438285    502685189545857
+--R     [----------------, -------------------, -----------------,
+--R       562949953421312  1152921504606846976  72057594037927936
+--R            47967704573
+--R      - -------------------]
+--R        1152921504606846976
+--R     ,
+--R     8691947280825057  3979481511376223   1989744620054455      7728732687
+--R    [----------------,------------------,------------------,------------------],
+--R     4503599627370496 576460752303423488 288230376151711744 576460752303423488
+--R
+--R      4368491638549381    7875837382270293    3937936508015475
+--R     [----------------, -------------------, ------------------,
+--R      2251799813685248  1152921504606846976  576460752303423488
+--R          35633760657
+--R      -------------------]
+--R      1152921504606846976
+--R     ,
+--R     8782019273372467  487102129936989   3896818706968169      1667472257
+--R    [----------------,-----------------,------------------,------------------],
+--R     4503599627370496 72057594037927936 576460752303423488 576460752303423488
+--R
+--R      2206763817411543    7712237820766581     964032818101981
+--R     [----------------, -------------------, ------------------,
+--R      1125899906842624  1152921504606846976  144115188075855872
+--R          24724049267
+--R      -------------------]
+--R      1152921504606846976
+--R     ,
+--R
+--R      8872091265919877    7631763899745023    3815869687822149
+--R     [----------------, -------------------, ------------------,
+--R      4503599627370496  1152921504606846976  576460752303423488
+--R            24524100725
+--R      - -------------------]
+--R        1152921504606846976
+--R     ,
+--R
+--R      4458563631096791   3776048511888345    3776029484237317
+--R     [----------------, ------------------, ------------------,
+--R      2251799813685248  576460752303423488  576460752303423488
+--R            4756912757
+--R      - ------------------]
+--R        144115188075855872
+--R     ,
+--R     8962163258467287  3736618596430791   467075779964617        12356713855
+--R    [----------------,------------------,-----------------,- ------------------]
+--R     4503599627370496 576460752303423488 72057594037927936   576460752303423488
+--R     ,
+--R        3697592203499849   1848797789432423      3375364997
+--R    [2,------------------,------------------,------------------]]
+--R       576460752303423488 288230376151711744 576460752303423488
+--R                                             Type: List List Fraction Integer
 --E 7
+
+\end{chunk}
+
+The actual table values from above are:
+\begin{verbatim}
+ [1.0E-2,                 5.2079E-2, 
+                          5.2078954179335148E-2, 
+                         -4.5820664852647131E-8]
+ [2.0E-2,                 5.1532099999999997E-2, 
+                          5.1532149651352818E-2, 
+                          4.9651352820867523E-8]
+ [2.9999999999999999E-2,  5.0991099999999998E-2, 
+                          5.0991103854550281E-2, 
+                          3.8545502831222045E-9]
+ [4.0000000000000001E-2,  5.0455800000000002E-2, 
+                          5.0455755932602576E-2, 
+                         -4.4067397425573418E-8]
+ [5.0000000000000003E-2,  4.9925999999999998E-2, 
+                          4.9926045674777729E-2, 
+                          4.5674777730819738E-8]
+ [5.9999999999999998E-2,  4.9401899999999999E-2, 
+                          4.9401913509057829E-2, 
+                          1.3509057830707327E-8]
+ [7.0000000000000007E-2,  4.8883299999999998E-2, 
+                          4.8883300495333924E-2, 
+                          4.9533392665335185E-10]
+ [8.0000000000000002E-2,  4.8370200000000002E-2, 
+                          4.83701483186737E-2, 
+                         -5.1681326301844521E-8]
+ [8.9999999999999997E-2,  4.7862399999999999E-2, 
+                          4.786239928266129E-2, 
+                         -7.1733870926626864E-10]
+ [0.10000000000000001,    4.7359999999999999E-2, 
+                          4.7359996302808287E-2, 
+                         -3.6971917125039333E-9]
+ [0.11,                   4.6862899999999999E-2, 
+                          4.6862882900035485E-2, 
+                         -1.7099964513822563E-8]
+ [0.12,                   4.6371000000000002E-2, 
+                          4.6371003194224242E-2, 
+                          3.1942242392779541E-9]
+ [0.13,                   4.5884300000000003E-2, 
+                          4.5884301897836918E-2, 
+                          1.8978369153987984E-9]
+ [0.14000000000000001,    4.5402699999999997E-2, 
+                          4.5402724309605645E-2, 
+                          2.430960564792084E-8]
+ [0.14999999999999999,    4.4926199999999999E-2, 
+                          4.4926216308288566E-2, 
+                          1.6308288566801998E-8]
+ [0.16,                   4.44547E-2, 
+                          4.4454724346493016E-2, 
+                          2.4346493016080828E-8]
+ [0.17000000000000001,    4.3988199999999998E-2, 
+                          4.398819544456465E-2, 
+                         -4.5554353483856502E-9]
+ [0.17999999999999999,    4.3526599999999999E-2, 
+                          4.3526577184542115E-2, 
+                         -2.2815457884073354E-8]
+ [0.19,                   4.3069799999999998E-2, 
+                          4.3069817704176359E-2, 
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+ [2.,                     6.4143000000000004E-3, 
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+\end{verbatim}
+
 )spool 
 )lisp (bye)
  
@@ -3803,4 +7675,4 @@ $E_20$ with an argument range of 0.01 to 2.00.
 Dover Publications, Inc. New York 1965. pp245-248
 \end{thebibliography}
 \end{document}
-
+ 
